122556028656432 has 240 divisors, whose sum is σ = 370982170204800. Its totient is φ = 34760420352000.

The previous prime is 122556028656419. The next prime is 122556028656499. The reversal of 122556028656432 is 234656820655221.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5106276432 + ... + 5106300432.

It is an arithmetic number, because the mean of its divisors is an integer number (1545759042520).

Almost surely, 2^{122556028656432} is an apocalyptic number.

122556028656432 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 122556028656432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185491085102400).

122556028656432 is an abundant number, since it is smaller than the sum of its proper divisors (248426141548368).

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

122556028656432 is a wasteful number, since it uses less digits than its factorization.

122556028656432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39784 (or 39771 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 57.

The spelling of 122556028656432 in words is "one hundred twenty-two trillion, five hundred fifty-six billion, twenty-eight million, six hundred fifty-six thousand, four hundred thirty-two".