122306976000 has 1152 divisors, whose sum is σ = 522069649920. Its totient is φ = 27869184000.

The previous prime is 122306975981. The next prime is 122306976019. The reversal of 122306976000 is 679603221.

122306976000 is a `hidden beast` number, since 12 + 2 + 30 + 6 + 9 + 7 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122306975981) and next prime (122306976019).

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 127 ways as a sum of consecutive naturals, for example, 161567622 + ... + 161568378.

It is an arithmetic number, because the mean of its divisors is an integer number (453185460).

Almost surely, 2^122306976000 is an apocalyptic number.

122306976000 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 122306976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261034824960).

122306976000 is an abundant number, since it is smaller than the sum of its proper divisors (399762673920).

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

122306976000 is a wasteful number, since it uses less digits than its factorization.

122306976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 122306976000 in words is "one hundred twenty-two billion, three hundred six million, nine hundred seventy-six thousand".