122971281850368 has 256 divisors, whose sum is σ = 416404356912000. Its totient is φ = 35134650187776.

The previous prime is 122971281850357. The next prime is 122971281850423. The reversal of 122971281850368 is 863058182179221.

122971281850368 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 71 + 28 + 185 + 0 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3734853 + ... + 16121156.

Almost surely, 2^{122971281850368} is an apocalyptic number.

122971281850368 is a gapful number since it is divisible by the number (18) 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 122971281850368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208202178456000).

122971281850368 is an abundant number, since it is smaller than the sum of its proper divisors (293433075061632).

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

122971281850368 is an frugal number, since it uses more digits than its factorization.

122971281850368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19856055 (or 19856021 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 122971281850368 in words is "one hundred twenty-two trillion, nine hundred seventy-one billion, two hundred eighty-one million, eight hundred fifty thousand, three hundred sixty-eight".