122085168960 has 112 divisors (see below), whose sum is σ = 387992428992. Its totient is φ = 32524800000.

The previous prime is 122085168901. The next prime is 122085168983. The reversal of 122085168960 is 69861580221.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 948460 + ... + 1069460.

It is an arithmetic number, because the mean of its divisors is an integer number (3464218116).

Almost surely, 2^122085168960 is an apocalyptic number.

122085168960 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 122085168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193996214496).

122085168960 is an abundant number, since it is smaller than the sum of its proper divisors (265907260032).

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

122085168960 is a wasteful number, since it uses less digits than its factorization.

122085168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122072 (or 122062 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 122085168960 in words is "one hundred twenty-two billion, eighty-five million, one hundred sixty-eight thousand, nine hundred sixty".