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122487816016 = 24172571752229
BaseRepresentation
bin111001000010011010…
…1111011111101010000
3102201011101102202111101
41302010311323331100
54001323340103031
6132134202554144
711564235154216
oct1620465737520
9381141382441
10122487816016
1147a461a7115
121b8a4b08954
13b72073bb57
145cdd904cb6
1532bd5c6361
hex1c84d7bf50

122487816016 has 40 divisors (see below), whose sum is σ = 252258039720. Its totient is φ = 57417007104.

The previous prime is 122487816007. The next prime is 122487816019. The reversal of 122487816016 is 610618784221.

It can be written as a sum of positive squares in 4 ways, for example, as 33600356416 + 88887459600 = 183304^2 + 298140^2 .

It is a super-2 number, since 2×1224878160162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122487816019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 806211 + ... + 946018.

It is an arithmetic number, because the mean of its divisors is an integer number (6306450993).

Almost surely, 2122487816016 is an apocalyptic number.

122487816016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122487816016 is an abundant number, since it is smaller than the sum of its proper divisors (129770223704).

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

122487816016 is a wasteful number, since it uses less digits than its factorization.

122487816016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752511 (or 1752505 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 122487816016 in words is "one hundred twenty-two billion, four hundred eighty-seven million, eight hundred sixteen thousand, sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 257 272 514 1028 2056 4112 4369 8738 17476 34952 69904 1752229 3504458 7008916 14017832 28035664 29787893 59575786 119151572 238303144 450322853 476606288 900645706 1801291412 3602582824 7205165648 7655488501 15310977002 30621954004 61243908008 122487816016