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BaseRepresentation
bin11011110000110100011100…
…010111001111010100110000
3121000022211212100212210010100
4123300310130113033110300
5112001010100341041422
61111404533023032400
734501404614626062
oct3360643427172460
9530284770783110
10122102101112112
11359a6234978790
121184025673b700
13531924288a884
142221ab7a39732
15e1b2510547ac
hex6f0d1c5cf530

122102101112112 has 240 divisors, whose sum is σ = 385702793798400. Its totient is φ = 35718560048640.

The previous prime is 122102101112027. The next prime is 122102101112149. The reversal of 122102101112112 is 211211101201221.

It is a happy number.

122102101112112 is a `hidden beast` number, since 122 + 10 + 210 + 111 + 211 + 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 47 ways as a sum of consecutive naturals, for example, 268176589 + ... + 268631507.

It is an arithmetic number, because the mean of its divisors is an integer number (1607094974160).

Almost surely, 2122102101112112 is an apocalyptic number.

122102101112112 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 122102101112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192851396899200).

122102101112112 is an abundant number, since it is smaller than the sum of its proper divisors (263600692686288).

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

122102101112112 is a wasteful number, since it uses less digits than its factorization.

122102101112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460816 (or 460807 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122102101112112 its reverse (211211101201221), we get a palindrome (333313202313333).

The spelling of 122102101112112 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred one million, one hundred twelve thousand, one hundred twelve".