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122091122952 = 2332411792
BaseRepresentation
bin111000110110100110…
…0101011000100001000
3102200010201222122220200
41301231030223010020
54000020311413302
6132030552252200
711551350264531
oct1615514530410
9380121878820
10122091122952
114786228a807
121b7b40a1060
13b6894b7826
145ca2d61688
15329886781c
hex1c6d32b108

122091122952 has 36 divisors (see below), whose sum is σ = 330671488095. Its totient is φ = 40696052688.

The previous prime is 122091122941. The next prime is 122091122977. The reversal of 122091122952 is 259221190221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 61045561476 + 61045561476 = 247074^2 + 247074^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247074.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2944299 + ... + 2985477.

Almost surely, 2122091122952 is an apocalyptic number.

122091122952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122091122952 is an abundant number, since it is smaller than the sum of its proper divisors (208580365143).

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

122091122952 is an frugal number, since it uses more digits than its factorization.

122091122952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82370 (or 41184 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 122091122952 in words is "one hundred twenty-two billion, ninety-one million, one hundred twenty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 41179 82358 123537 164716 247074 329432 370611 494148 741222 988296 1482444 2964888 1695710041 3391420082 5087130123 6782840164 10174260246 13565680328 15261390369 20348520492 30522780738 40697040984 61045561476 122091122952