122351596773120 has 1728 divisors, whose sum is σ = 527370034359168. Its totient is φ = 25730482176000.

The previous prime is 122351596773113. The next prime is 122351596773121. The reversal of 122351596773120 is 21377695153221.

122351596773120 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 515 + 9 + 6 + 77 + 31 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122351596773121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21311893450 + ... + 21311899190.

It is an arithmetic number, because the mean of its divisors is an integer number (305190992106).

Almost surely, 2^{122351596773120} is an apocalyptic number.

122351596773120 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 122351596773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263685017179584).

122351596773120 is an abundant number, since it is smaller than the sum of its proper divisors (405018437586048).

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

122351596773120 is a wasteful number, since it uses less digits than its factorization.

122351596773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6570 (or 6553 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 122351596773120 in words is "one hundred twenty-two trillion, three hundred fifty-one billion, five hundred ninety-six million, seven hundred seventy-three thousand, one hundred twenty".