122284697213952 has 1408 divisors, whose sum is σ = 466274115256320. Its totient is φ = 30770843811840.

The previous prime is 122284697213933. The next prime is 122284697213977. The reversal of 122284697213952 is 259312796482221.

It is a happy number.

122284697213952 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 8 + 469 + 72 + 13 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 122284697213952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24940788333 + ... + 24940793235.

Almost surely, 2^{122284697213952} is an apocalyptic number.

122284697213952 is a gapful number since it is divisible by the number (12) 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 122284697213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233137057628160).

122284697213952 is an abundant number, since it is smaller than the sum of its proper divisors (343989418042368).

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

122284697213952 is a wasteful number, since it uses less digits than its factorization.

122284697213952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 5382 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 122284697213952 in words is "one hundred twenty-two trillion, two hundred eighty-four billion, six hundred ninety-seven million, two hundred thirteen thousand, nine hundred fifty-two".