122655583179360 has 1152 divisors, whose sum is σ = 549531641917440. Its totient is φ = 24135683788800.

The previous prime is 122655583179313. The next prime is 122655583179391. The reversal of 122655583179360 is 63971385556221.

122655583179360 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 5 + 5 + 583 + 17 + 9 + 36 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5905125775 + ... + 5905146545.

It is an arithmetic number, because the mean of its divisors is an integer number (477023994720).

Almost surely, 2^{122655583179360} is an apocalyptic number.

122655583179360 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 122655583179360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274765820958720).

122655583179360 is an abundant number, since it is smaller than the sum of its proper divisors (426876058738080).

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

122655583179360 is a wasteful number, since it uses less digits than its factorization.

122655583179360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23632 (or 23621 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 122655583179360 in words is "one hundred twenty-two trillion, six hundred fifty-five billion, five hundred eighty-three million, one hundred seventy-nine thousand, three hundred sixty".