122051160000 has 2520 divisors, whose sum is σ = 603268029936. Its totient is φ = 23224320000.

The previous prime is 122051159999. The next prime is 122051160031. The reversal of 122051160000 is 61150221.

122051160000 is a `hidden beast` number, since 12 + 2 + 0 + 51 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3298679982 + ... + 3298680018.

Almost surely, 2^122051160000 is an apocalyptic number.

122051160000 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 122051160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301634014968).

122051160000 is an abundant number, since it is smaller than the sum of its proper divisors (481216869936).

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

122051160000 is a wasteful number, since it uses less digits than its factorization.

122051160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 122051160000 in words is "one hundred twenty-two billion, fifty-one million, one hundred sixty thousand".