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122332011012 = 22323398111417
BaseRepresentation
bin111000111101110001…
…1100101101000000100
3102200202112021001012200
41301323203211220010
54001013443323022
6132110515314500
711560333636221
oct1617343455004
9380675231180
10122332011012
114797625a552
121b8608aba30
13b6c7389943
145cc6d48948
1532aea9bbac
hex1c7b8e5a04

122332011012 has 18 divisors (see below), whose sum is σ = 309228139038. Its totient is φ = 40777336992.

The previous prime is 122332010989. The next prime is 122332011013. The reversal of 122332011012 is 210110233221.

122332011012 is a `hidden beast` number, since 1 + 223 + 320 + 110 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122259318336 + 72692676 = 349656^2 + 8526^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is not an unprimeable number, because it can be changed into a prime (122332011013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1699055673 + ... + 1699055744.

Almost surely, 2122332011012 is an apocalyptic number.

122332011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122332011012 is an abundant number, since it is smaller than the sum of its proper divisors (186896128026).

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

122332011012 is a wasteful number, since it uses less digits than its factorization.

122332011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398111427 (or 3398111422 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122332011012 its reverse (210110233221), we get a palindrome (332442244233).

The spelling of 122332011012 in words is "one hundred twenty-two billion, three hundred thirty-two million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3398111417 6796222834 10194334251 13592445668 20388668502 30583002753 40777337004 61166005506 122332011012