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122397105024 = 27331910318097
BaseRepresentation
bin111000111111101101…
…1111001101110000000
3102200221001202011102000
41301333123321232000
54001132124330044
6132121202424000
711562054140535
oct1617733715600
9380831664360
10122397105024
11479a9a7a657
121b87a662000
13b7079cb3cc
145cd1850d8c
1532b5658d69
hex1c7f6f9b80

122397105024 has 256 divisors, whose sum is σ = 383967168000. Its totient is φ = 38274342912.

The previous prime is 122397105011. The next prime is 122397105031. The reversal of 122397105024 is 420501793221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 122397105024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6754344 + ... + 6772440.

It is an arithmetic number, because the mean of its divisors is an integer number (1499871750).

Almost surely, 2122397105024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122397105024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191983584000).

122397105024 is an abundant number, since it is smaller than the sum of its proper divisors (261570062976).

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

122397105024 is a wasteful number, since it uses less digits than its factorization.

122397105024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18242 (or 18224 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 122397105024 its reverse (420501793221), we get a palindrome (542898898245).

The spelling of 122397105024 in words is "one hundred twenty-two billion, three hundred ninety-seven million, one hundred five thousand, twenty-four".