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122120038966816 = 2511418461754363
BaseRepresentation
bin11011110001000101001001…
…100010101110011000100000
3121000101120011111010012211101
4123301011021202232120200
5112001303314433414231
61111421101005324144
734502611260110422
oct3361051142563040
9530346144105741
10122120038966816
1135a028aa3744a0
1211843821b66654
13531ab40c6c897
1422228da0ca812
15e1b950c34661
hex6f11498ae620

122120038966816 has 48 divisors (see below), whose sum is σ = 268677624565728. Its totient is φ = 54155227916800.

The previous prime is 122120038966771. The next prime is 122120038966889. The reversal of 122120038966816 is 618669830021221.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4230862750 + ... + 4230891613.

It is an arithmetic number, because the mean of its divisors is an integer number (5597450511786).

Almost surely, 2122120038966816 is an apocalyptic number.

122120038966816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122120038966816 is an abundant number, since it is smaller than the sum of its proper divisors (146557585598912).

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

122120038966816 is a wasteful number, since it uses less digits than its factorization.

122120038966816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8461754425 (or 8461754417 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The spelling of 122120038966816 in words is "one hundred twenty-two trillion, one hundred twenty billion, thirty-eight million, nine hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 902 1312 1804 3608 7216 14432 8461754363 16923508726 33847017452 67694034904 93079297993 135388069808 186158595986 270776139616 346931928883 372317191972 693863857766 744634383944 1387727715532 1489268767888 2775455431064 2978537535776 3816251217713 5550910862128 7632502435426 11101821724256 15265004870852 30530009741704 61060019483408 122120038966816