122059390279680 has 1344 divisors, whose sum is σ = 506376689495040. Its totient is φ = 26591408160768.

The previous prime is 122059390279643. The next prime is 122059390279693. The reversal of 122059390279680 is 86972093950221.

122059390279680 is a `hidden beast` number, since 1 + 220 + 59 + 3 + 90 + 279 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17389851211 + ... + 17389858229.

It is an arithmetic number, because the mean of its divisors is an integer number (376768370160).

Almost surely, 2^{122059390279680} is an apocalyptic number.

122059390279680 is a gapful number since it is divisible by the number (10) 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 122059390279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253188344747520).

122059390279680 is an abundant number, since it is smaller than the sum of its proper divisors (384317299215360).

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

122059390279680 is a wasteful number, since it uses less digits than its factorization.

122059390279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7379 (or 7352 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 122059390279680 in words is "one hundred twenty-two trillion, fifty-nine billion, three hundred ninety million, two hundred seventy-nine thousand, six hundred eighty".