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122312012112 = 2432849388973
BaseRepresentation
bin111000111101001011…
…1010011000101010000
3102200201010121222212200
41301322113103011100
54000443333341422
6132104522523200
711560001643333
oct1617227230520
9380633558780
10122312012112
1147965a40034
121b856066500
13b6c31a6b84
145cc442061a
1532ace4b2ac
hex1c7a5d3150

122312012112 has 30 divisors (see below), whose sum is σ = 342303756522. Its totient is φ = 40770670656.

The previous prime is 122312012111. The next prime is 122312012129. The reversal of 122312012112 is 211210213221.

It can be written as a sum of positive squares in only one way, i.e., 120078882576 + 2233129536 = 346524^2 + 47256^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122312012111) 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, 424694343 + ... + 424694630.

Almost surely, 2122312012112 is an apocalyptic number.

122312012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122312012112 is an abundant number, since it is smaller than the sum of its proper divisors (219991744410).

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

122312012112 is a wasteful number, since it uses less digits than its factorization.

122312012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849388987 (or 849388978 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122312012112 its reverse (211210213221), we get a palindrome (333522225333).

The spelling of 122312012112 in words is "one hundred twenty-two billion, three hundred twelve million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 849388973 1698777946 2548166919 3397555892 5096333838 6795111784 7644500757 10192667676 13590223568 15289001514 20385335352 30578003028 40770670704 61156006056 122312012112