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12021201112212 = 22326143271265111
BaseRepresentation
bin1010111011101110011101…
…1011000000110010010100
31120120012211011201012020200
42232323213123000302110
53033423404441042322
641322244043300500
72350334366336205
oct256734733006224
946505734635220
1012021201112212
1139151876aa246
121421957b1a730
13692795b8acb6
142d7b876035ac
1515ca743468ac
hexaeee76c0c94

12021201112212 has 72 divisors (see below), whose sum is σ = 30892233520512. Its totient is φ = 3940463419200.

The previous prime is 12021201112211. The next prime is 12021201112223. The reversal of 12021201112212 is 21221110212021.

12021201112212 is a `hidden beast` number, since 120 + 21 + 201 + 112 + 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 (12021201112211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8869537 + ... + 10134647.

It is an arithmetic number, because the mean of its divisors is an integer number (429058798896).

Almost surely, 212021201112212 is an apocalyptic number.

12021201112212 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 12021201112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15446116760256).

12021201112212 is an abundant number, since it is smaller than the sum of its proper divisors (18871032408300).

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

12021201112212 is a wasteful number, since it uses less digits than its factorization.

12021201112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269509 (or 1269504 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12021201112212 its reverse (21221110212021), we get a palindrome (33242311324233).

The spelling of 12021201112212 in words is "twelve trillion, twenty-one billion, two hundred one million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 4327 8654 12981 17308 25962 38943 51924 77886 155772 263947 527894 791841 1055788 1265111 1583682 2375523 2530222 3167364 3795333 4751046 5060444 7590666 9502092 11385999 15181332 22771998 45543996 77171771 154343542 231515313 308687084 463030626 694545939 926061252 1389091878 2778183756 5474135297 10948270594 16422405891 21896541188 32844811782 49267217673 65689623564 98534435346 197068870692 333922253117 667844506234 1001766759351 1335689012468 2003533518702 3005300278053 4007067037404 6010600556106 12021201112212