122748377688960 has 256 divisors, whose sum is σ = 392512016056320. Its totient is φ = 32628328448000.

The previous prime is 122748377688929. The next prime is 122748377688977. The reversal of 122748377688960 is 69886773847221.

It is a super-2 number, since 2×122748377688960² (a number of 29 digits) contains 22 as substring.

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, 952411084 + ... + 952539956.

It is an arithmetic number, because the mean of its divisors is an integer number (1533250062720).

Almost surely, 2^{122748377688960} is an apocalyptic number.

122748377688960 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 122748377688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196256008028160).

122748377688960 is an abundant number, since it is smaller than the sum of its proper divisors (269763638367360).

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

122748377688960 is a wasteful number, since it uses less digits than its factorization.

122748377688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130477 (or 130465 counting only the distinct ones).

The product of its (nonzero) digits is 2731180032, while the sum is 78.

The spelling of 122748377688960 in words is "one hundred twenty-two trillion, seven hundred forty-eight billion, three hundred seventy-seven million, six hundred eighty-eight thousand, nine hundred sixty".