122132322012000 has 768 divisors, whose sum is σ = 446548719052800. Its totient is φ = 28999743897600.

The previous prime is 122132322011941. The next prime is 122132322012013. The reversal of 122132322012000 is 210223231221.

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, 2879846796 + ... + 2879889204.

It is an arithmetic number, because the mean of its divisors is an integer number (581443644600).

Almost surely, 2^{122132322012000} is an apocalyptic number.

122132322012000 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 122132322012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223274359526400).

122132322012000 is an abundant number, since it is smaller than the sum of its proper divisors (324416397040800).

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

122132322012000 is a wasteful number, since it uses less digits than its factorization.

122132322012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43216 (or 43198 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 122132322012000 its reverse (210223231221), we get a palindrome (122342545243221).

The spelling of 122132322012000 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, three hundred twenty-two million, twelve thousand".