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12021212020212 = 223217118717839281
BaseRepresentation
bin1010111011101110100000…
…0100100111110111110100
31120120012211221020101012200
42232323220010213313310
53033423420234121322
641322245113144500
72350334561140023
oct256735004476764
946505757211180
1012021212020212
11391519287a61a
12142195b6bb130
13692798209c35
142d7b88c428ba
1515ca7529d8ac
hexaeee8127df4

12021212020212 has 144 divisors (see below), whose sum is σ = 32223057939072. Its totient is φ = 3765664235520.

The previous prime is 12021212020211. The next prime is 12021212020333. The reversal of 12021212020212 is 21202021212021.

It is a happy number.

12021212020212 is a `hidden beast` number, since 120 + 212 + 120 + 2 + 0 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021212020211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1295245012 + ... + 1295254292.

It is an arithmetic number, because the mean of its divisors is an integer number (223771235688).

Almost surely, 212021212020212 is an apocalyptic number.

12021212020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021212020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16111528969536).

12021212020212 is an abundant number, since it is smaller than the sum of its proper divisors (20201845918860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12021212020212 is a wasteful number, since it uses less digits than its factorization.

12021212020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12278 (or 12273 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12021212020212 its reverse (21202021212021), we get a palindrome (33223233232233).

It can be divided in two parts, 12021 and 212020212, that multiplied together give a palindrome (2548694968452).

The spelling of 12021212020212 in words is "twelve trillion, twenty-one billion, two hundred twelve million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1187 1783 2374 3561 3566 4748 5349 7122 7132 9281 10683 10698 14244 16047 18562 20179 21366 21396 27843 30311 32094 37124 40358 42732 55686 60537 60622 64188 80716 83529 90933 111372 121074 121244 157777 167058 181611 181866 242148 272799 315554 334116 363222 363732 473331 545598 631108 726444 946662 1091196 1419993 1893324 2116421 2839986 4232842 5679972 6349263 8465684 11016547 12698526 16548023 19047789 22033094 25397052 33049641 33096046 35979157 38095578 44066188 49644069 66099282 66192092 71958314 76191156 99148923 99288138 107937471 132198564 143916628 148932207 187281299 198297846 198576276 215874942 281316391 297864414 323812413 374562598 396595692 431749884 561843897 562632782 595728828 647624826 749125196 843949173 1123687794 1125265564 1295249652 1685531691 1687898346 2247375588 2531847519 3371063382 3375796692 5063695038 6742126764 10127390076 19642503301 39285006602 58927509903 78570013204 117855019806 176782529709 235710039612 333922556117 353565059418 667845112234 707130118836 1001767668351 1335690224468 2003535336702 3005303005053 4007070673404 6010606010106 12021212020212