122125512432000 has 1024 divisors, whose sum is σ = 505716253286400. Its totient is φ = 25327807488000.

The previous prime is 122125512431963. The next prime is 122125512432031. The reversal of 122125512432000 is 234215521221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1932976411 + ... + 1933039589.

It is an arithmetic number, because the mean of its divisors is an integer number (493863528600).

Almost surely, 2^{122125512432000} is an apocalyptic number.

122125512432000 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 122125512432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252858126643200).

122125512432000 is an abundant number, since it is smaller than the sum of its proper divisors (383590740854400).

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

122125512432000 is a wasteful number, since it uses less digits than its factorization.

122125512432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63752 (or 63730 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 122125512432000 its reverse (234215521221), we get a palindrome (122359727953221).

The spelling of 122125512432000 in words is "one hundred twenty-two trillion, one hundred twenty-five billion, five hundred twelve million, four hundred thirty-two thousand".