122072466576 has 160 divisors (see below), whose sum is σ = 337583393280. Its totient is φ = 37877409792.

The previous prime is 122072466541. The next prime is 122072466599. The reversal of 122072466576 is 675664270221.

122072466576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32097091 + ... + 32100893.

It is an arithmetic number, because the mean of its divisors is an integer number (2109896208).

Almost surely, 2^122072466576 is an apocalyptic number.

122072466576 is a gapful number since it is divisible by the number (16) 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 122072466576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168791696640).

122072466576 is an abundant number, since it is smaller than the sum of its proper divisors (215510926704).

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

122072466576 is a wasteful number, since it uses less digits than its factorization.

122072466576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 122072466576 in words is "one hundred twenty-two billion, seventy-two million, four hundred sixty-six thousand, five hundred seventy-six".