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202112221211012 = 227271118712235661
BaseRepresentation
bin101101111101000111101011…
…001001100110100110000100
3222111121201222012111002121002
4231331013223021212212010
5202442401312112223022
61553505023404312432
760400061153344100
oct5575075311464604
9874551865432532
10202112221211012
1159443347900a22
121a802851b42718
1388a114026a198
1437ca3d8696900
151857609171092
hexb7d1eb266984

202112221211012 has 72 divisors (see below), whose sum is σ = 417589244347968. Its totient is φ = 85327577428800.

The previous prime is 202112221210981. The next prime is 202112221211027. The reversal of 202112221211012 is 210112122211202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10400462 + ... + 22636122.

It is an arithmetic number, because the mean of its divisors is an integer number (5799850615944).

Almost surely, 2202112221211012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202112221211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208794622173984).

202112221211012 is an abundant number, since it is smaller than the sum of its proper divisors (215477023136956).

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

202112221211012 is a wasteful number, since it uses less digits than its factorization.

202112221211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12236937 (or 12236928 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 202112221211012 its reverse (210112122211202), we get a palindrome (412224343422214).

The spelling of 202112221211012 in words is "two hundred two trillion, one hundred twelve billion, two hundred twenty-one million, two hundred eleven thousand, twelve".

Divisors: 1 2 4 7 14 28 49 71 98 142 196 284 497 994 1187 1988 2374 3479 4748 6958 8309 13916 16618 33236 58163 84277 116326 168554 232652 337108 589939 1179878 2359756 4129573 8259146 12235661 16518292 24471322 48942644 85649627 171299254 342598508 599547389 868731931 1199094778 1737463862 2398189556 3474927724 6081123517 12162247034 14523729607 24324494068 29047459214 42567864619 58094918428 85135729238 101666107249 170271458476 203332214498 406664428996 711662750743 1031184802097 1423325501486 2062369604194 2846651002972 4124739208388 7218293614679 14436587229358 28873174458716 50528055302753 101056110605506 202112221211012