122133120031032 has 256 divisors, whose sum is σ = 353438873902080. Its totient is φ = 34758484992000.

The previous prime is 122133120030967. The next prime is 122133120031061. The reversal of 122133120031032 is 230130021331221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122133120030993 and 122133120031011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4338486157 + ... + 4338514307.

It is an arithmetic number, because the mean of its divisors is an integer number (1380620601180).

Almost surely, 2^{122133120031032} is an apocalyptic number.

122133120031032 is a gapful number since it is divisible by the number (12) 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 122133120031032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176719436951040).

122133120031032 is an abundant number, since it is smaller than the sum of its proper divisors (231305753871048).

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

122133120031032 is a wasteful number, since it uses less digits than its factorization.

122133120031032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30222 (or 30218 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 122133120031032 its reverse (230130021331221), we get a palindrome (352263141362253).

The spelling of 122133120031032 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred twenty million, thirty-one thousand, thirty-two".