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122491899264 = 273737233287
BaseRepresentation
bin111001000010100010…
…1100000110110000000
3102201011200010012122210
41302011011200312000
54001330411234024
6132134430302120
711564314651560
oct1620505406600
9381150105583
10122491899264
1147a485359a9
121b8a6357940
13b72153b587
145d00288da0
1532bdb31129
hex1c85160d80

122491899264 has 192 divisors, whose sum is σ = 382183522560. Its totient is φ = 34050779136.

The previous prime is 122491899253. The next prime is 122491899287. The reversal of 122491899264 is 462998194221.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3663229 + ... + 3696515.

It is an arithmetic number, because the mean of its divisors is an integer number (1990539180).

Almost surely, 2122491899264 is an apocalyptic number.

122491899264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122491899264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191091761280).

122491899264 is an abundant number, since it is smaller than the sum of its proper divisors (259691623296).

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

122491899264 is an equidigital number, since it uses as much as digits as its factorization.

122491899264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33385 (or 33336 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 57.

The spelling of 122491899264 in words is "one hundred twenty-two billion, four hundred ninety-one million, eight hundred ninety-nine thousand, two hundred sixty-four".