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212222012200002 = 23375345972304349
BaseRepresentation
bin110000010000001111001001…
…101001101001010001000010
31000211102020002220211110121000
4300100033021221221101002
5210304021140110400002
62031205240235312430
762462351205024330
oct6020171151512102
91024366086743530
10212222012200002
11616909392a7a82
121b97606a5ab716
1391555b050193c
143a59858d1cb50
1519805acb7261c
hexc103c9a69442

212222012200002 has 128 divisors (see below), whose sum is σ = 549265603392000. Its totient is φ = 59477839619328.

The previous prime is 212222012199961. The next prime is 212222012200049. The reversal of 212222012200002 is 200002210222212.

212222012200002 is a `hidden beast` number, since 21 + 222 + 201 + 220 + 0 + 0 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90944124 + ... + 93248472.

It is an arithmetic number, because the mean of its divisors is an integer number (4291137526500).

Almost surely, 2212222012200002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212222012200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274632801696000).

212222012200002 is an abundant number, since it is smaller than the sum of its proper divisors (337043591191998).

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

212222012200002 is a wasteful number, since it uses less digits than its factorization.

212222012200002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309017 (or 2309011 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212222012200002 its reverse (200002210222212), we get a palindrome (412224222422214).

The spelling of 212222012200002 in words is "two hundred twelve trillion, two hundred twenty-two billion, twelve million, two hundred thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 159 189 318 371 378 477 742 954 1113 1431 2226 2862 3339 4597 6678 9194 10017 13791 20034 27582 32179 41373 64358 82746 96537 124119 193074 243641 248238 289611 487282 579222 730923 868833 1461846 1705487 1737666 2192769 2304349 3410974 4385538 4608698 5116461 6578307 6913047 10232922 13156614 13826094 15349383 16130443 20739141 30698766 32260886 41478282 46048149 48391329 62217423 92096298 96782658 122130497 124434846 145173987 244260994 290347974 366391491 435521961 732782982 854913479 871043922 1099174473 1709826958 2198348946 2564740437 3297523419 5129480874 6595046838 7694221311 10593092353 15388442622 21186184706 23082663933 31779277059 46165327866 63558554118 74151646471 95337831177 148303292942 190675662354 222454939413 286013493531 444909878826 561433894709 572026987062 667364818239 1122867789418 1334729636478 1684301684127 2002094454717 3368603368254 3930037262963 4004188909434 5052905052381 7860074525926 10105810104762 11790111788889 15158715157143 23580223577778 30317430314286 35370335366667 70740670733334 106111006100001 212222012200002