122440288988160 has 5632 divisors, whose sum is σ = 571314149683200. Its totient is φ = 24400027975680.

The previous prime is 122440288988119. The next prime is 122440288988207. The reversal of 122440288988160 is 61889882044221.

122440288988160 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 402 + 8 + 8 + 98 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (5632).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 534673750926 + ... + 534673751154.

It is an arithmetic number, because the mean of its divisors is an integer number (101440722600).

Almost surely, 2^{122440288988160} is an apocalyptic number.

122440288988160 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 122440288988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285657074841600).

122440288988160 is an abundant number, since it is smaller than the sum of its proper divisors (448873860695040).

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

122440288988160 is a wasteful number, since it uses less digits than its factorization.

122440288988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 122440288988160 in words is "one hundred twenty-two trillion, four hundred forty billion, two hundred eighty-eight million, nine hundred eighty-eight thousand, one hundred sixty".