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122757080121 = 33131720572663
BaseRepresentation
bin111001001010011100…
…1000110010000111001
3102201212011002210102000
41302110321012100321
54002401303030441
6132221022131213
711604014651604
oct1622471062071
9381764083360
10122757080121
1148074198235
121b95b120b09
13b764467a20
145d2759733b
1532d70632b6
hex1c94e46439

122757080121 has 32 divisors (see below), whose sum is σ = 207372453120. Its totient is φ = 71099119872.

The previous prime is 122757080099. The next prime is 122757080137. The reversal of 122757080121 is 121080757221.

122757080121 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 570 + 80 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 122757080121 - 215 = 122757047353 is a prime.

It is a super-2 number, since 2×1227570801212 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122757080161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10280365 + ... + 10292298.

It is an arithmetic number, because the mean of its divisors is an integer number (6480389160).

Almost surely, 2122757080121 is an apocalyptic number.

It is an amenable number.

122757080121 is a deficient number, since it is larger than the sum of its proper divisors (84615372999).

122757080121 is a wasteful number, since it uses less digits than its factorization.

122757080121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20572702 (or 20572696 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 122757080121 in words is "one hundred twenty-two billion, seven hundred fifty-seven million, eighty thousand, one hundred twenty-one".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 351 459 663 1989 5967 20572663 61717989 185153967 267444619 349735271 555461901 802333857 1049205813 2407001571 3147617439 4546558523 7221004713 9442852317 13639675569 40919026707 122757080121