122095864080 has 160 divisors (see below), whose sum is σ = 421825441920. Its totient is φ = 32460341760.

The previous prime is 122095864073. The next prime is 122095864151. The reversal of 122095864080 is 80468590221.

122095864080 is a `hidden beast` number, since 1 + 2 + 20 + 9 + 586 + 40 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629574 + ... + 800346.

It is an arithmetic number, because the mean of its divisors is an integer number (2636409012).

Almost surely, 2^122095864080 is an apocalyptic number.

122095864080 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 122095864080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210912720960).

122095864080 is an abundant number, since it is smaller than the sum of its proper divisors (299729577840).

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

122095864080 is a wasteful number, since it uses less digits than its factorization.

122095864080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171126 (or 171114 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 122095864080 in words is "one hundred twenty-two billion, ninety-five million, eight hundred sixty-four thousand, eighty".