122075624416 has 24 divisors (see below), whose sum is σ = 252985670280. Its totient is φ = 57825295488.

The previous prime is 122075624401. The next prime is 122075624431. The reversal of 122075624416 is 614426570221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122075624401) and next prime (122075624431).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 100390531 + ... + 100391746.

It is an arithmetic number, because the mean of its divisors is an integer number (10541069595).

Almost surely, 2^122075624416 is an apocalyptic number.

122075624416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122075624416 is an abundant number, since it is smaller than the sum of its proper divisors (130910045864).

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

122075624416 is a wasteful number, since it uses less digits than its factorization.

122075624416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200782306 (or 200782298 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 122075624416 in words is "one hundred twenty-two billion, seventy-five million, six hundred twenty-four thousand, four hundred sixteen".