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122621107364 = 22779103538199
BaseRepresentation
bin111001000110011001…
…0011001110010100100
3102201111200020122211222
41302030302121302210
54002112000413424
6132155323515512
711600444133560
oct1621462316244
9381450218758
10122621107364
1148004466958
121b921688b98
13b74223a782
145d134c06a0
1532ca154e5e
hex1c8cc99ca4

122621107364 has 48 divisors (see below), whose sum is σ = 250758144000. Its totient is φ = 51382839456.

The previous prime is 122621107361. The next prime is 122621107369. The reversal of 122621107364 is 463701126221.

It is a super-3 number, since 3×1226211073643 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (122621107361) 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 15 ways as a sum of consecutive naturals, for example, 41264 + ... + 496935.

It is an arithmetic number, because the mean of its divisors is an integer number (5224128000).

Almost surely, 2122621107364 is an apocalyptic number.

122621107364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122621107364 is an abundant number, since it is smaller than the sum of its proper divisors (128137036636).

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

122621107364 is a wasteful number, since it uses less digits than its factorization.

122621107364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538392 (or 538390 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 122621107364 in words is "one hundred twenty-two billion, six hundred twenty-one million, one hundred seven thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 79 103 158 206 316 412 553 721 1106 1442 2212 2884 8137 16274 32548 56959 113918 227836 538199 1076398 2152796 3767393 7534786 15069572 42517721 55434497 85035442 110868994 170070884 221737988 297624047 388041479 595248094 776082958 1190496188 1552165916 4379325263 8758650526 17517301052 30655276841 61310553682 122621107364