122132122332000 has 768 divisors, whose sum is σ = 449444351655936. Its totient is φ = 28735733760000.

The previous prime is 122132122331977. The next prime is 122132122332007. The reversal of 122132122332000 is 233221231221.

It is a super-2 number, since 2×122132122332000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122132122332007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1044457537 + ... + 1044574463.

It is an arithmetic number, because the mean of its divisors is an integer number (585213999552).

Almost surely, 2^{122132122332000} is an apocalyptic number.

122132122332000 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 122132122332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224722175827968).

122132122332000 is an abundant number, since it is smaller than the sum of its proper divisors (327312229323936).

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

122132122332000 is a wasteful number, since it uses less digits than its factorization.

122132122332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117200 (or 117182 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122132122332000 its reverse (233221231221), we get a palindrome (122365343563221).

The spelling of 122132122332000 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, one hundred twenty-two million, three hundred thirty-two thousand".