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122713129872 = 24373506891
BaseRepresentation
bin111001001001001000…
…1011100001110010000
3102201202002101220000000
41302102101130032100
54002304030123442
6132212412130000
711602642252014
oct1622221341620
9381662356000
10122713129872
11480513a9813
121b948466900
13b75831a168
145d217d6544
1532d3280d4c
hex1c9245c390

122713129872 has 80 divisors (see below), whose sum is σ = 356580778560. Its totient is φ = 40904364960.

The previous prime is 122713129871. The next prime is 122713129901. The reversal of 122713129872 is 278921317221.

122713129872 is a `hidden beast` number, since 1 + 227 + 131 + 298 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (122713129871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1718454 + ... + 1788437.

It is an arithmetic number, because the mean of its divisors is an integer number (4457259732).

Almost surely, 2122713129872 is an apocalyptic number.

122713129872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122713129872 is an abundant number, since it is smaller than the sum of its proper divisors (233867648688).

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

122713129872 is an frugal number, since it uses more digits than its factorization.

122713129872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506920 (or 3506896 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The spelling of 122713129872 in words is "one hundred twenty-two billion, seven hundred thirteen million, one hundred twenty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 8748 11664 17496 34992 3506891 7013782 10520673 14027564 21041346 28055128 31562019 42082692 56110256 63124038 84165384 94686057 126248076 168330768 189372114 252496152 284058171 378744228 504992304 568116342 757488456 852174513 1136232684 1514976912 1704349026 2272465368 2556523539 3408698052 4544930736 5113047078 6817396104 7669570617 10226094156 13634792208 15339141234 20452188312 30678282468 40904376624 61356564936 122713129872