122915016000 has 448 divisors, whose sum is σ = 515390952960. Its totient is φ = 28094515200.

The previous prime is 122915015999. The next prime is 122915016053. The reversal of 122915016000 is 610519221.

122915016000 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 1 + 50 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 1471354 + ... + 1552646.

Almost surely, 2^122915016000 is an apocalyptic number.

122915016000 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 122915016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257695476480).

122915016000 is an abundant number, since it is smaller than the sum of its proper divisors (392475936960).

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

122915016000 is an equidigital number, since it uses as much as digits as its factorization.

122915016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81336 (or 81310 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 122915016000 in words is "one hundred twenty-two billion, nine hundred fifteen million, sixteen thousand".