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102222100122120 = 2332511371559447509
BaseRepresentation
bin10111001111100001101111…
…111101110100101000001000
3111101221100002220201120221200
4113033201233331310220020
5101344301330112401440
61001224103504104200
730350205635424246
oct2717415775645010
9441840086646850
10102222100122120
112a631170659aa0
12b56b3b2605060
13450666c505704
141b3580c947796
15bc407102ac30
hex5cf86ff74a08

102222100122120 has 384 divisors, whose sum is σ = 372458634912000. Its totient is φ = 24095835555840.

The previous prime is 102222100122047. The next prime is 102222100122167. The reversal of 102222100122120 is 21221001222201.

It is a happy number.

102222100122120 is a `hidden beast` number, since 10 + 222 + 210 + 0 + 1 + 221 + 2 + 0 = 666.

102222100122120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 102222100122093 and 102222100122102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 228200926 + ... + 228648434.

It is an arithmetic number, because the mean of its divisors is an integer number (969944361750).

Almost surely, 2102222100122120 is an apocalyptic number.

102222100122120 is a gapful number since it is divisible by the number (10) 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 102222100122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186229317456000).

102222100122120 is an abundant number, since it is smaller than the sum of its proper divisors (270236534789880).

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

102222100122120 is a wasteful number, since it uses less digits than its factorization.

102222100122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449133 (or 449126 counting only the distinct ones).

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

Adding to 102222100122120 its reverse (21221001222201), we get a palindrome (123443101344321).

The spelling of 102222100122120 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, one hundred twenty".