122072801760 has 1152 divisors, whose sum is σ = 550645724160. Its totient is φ = 24594223104.

The previous prime is 122072801693. The next prime is 122072801791. The reversal of 122072801760 is 67108270221.

122072801760 is a `hidden beast` number, since 1 + 2 + 207 + 280 + 176 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 207960187 + ... + 207960773.

It is an arithmetic number, because the mean of its divisors is an integer number (477991080).

Almost surely, 2^122072801760 is an apocalyptic number.

122072801760 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 122072801760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275322862080).

122072801760 is an abundant number, since it is smaller than the sum of its proper divisors (428572922400).

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

122072801760 is a wasteful number, since it uses less digits than its factorization.

122072801760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 122072801760 in words is "one hundred twenty-two billion, seventy-two million, eight hundred one thousand, seven hundred sixty".