122430528000 has 1600 divisors, whose sum is σ = 528325649280. Its totient is φ = 27869184000.

The previous prime is 122430527969. The next prime is 122430528013. The reversal of 122430528000 is 825034221.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1083455944 + ... + 1083456056.

Almost surely, 2^122430528000 is an apocalyptic number.

122430528000 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 122430528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264162824640).

122430528000 is an abundant number, since it is smaller than the sum of its proper divisors (405895121280).

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

122430528000 is a wasteful number, since it uses less digits than its factorization.

122430528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 122430528000 in words is "one hundred twenty-two billion, four hundred thirty million, five hundred twenty-eight thousand".