122112434432 has 72 divisors (see below), whose sum is σ = 245127926400. Its totient is φ = 60711340032.

The previous prime is 122112434401. The next prime is 122112434447. The reversal of 122112434432 is 234434211221.

It is a super-2 number, since 2×122112434432² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112434395 and 122112434404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65404763 + ... + 65406629.

Almost surely, 2^122112434432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122112434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122563963200).

122112434432 is an abundant number, since it is smaller than the sum of its proper divisors (123015491968).

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

122112434432 is a wasteful number, since it uses less digits than its factorization.

122112434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3177 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

Adding to 122112434432 its reverse (234434211221), we get a palindrome (356546645653).

The spelling of 122112434432 in words is "one hundred twenty-two billion, one hundred twelve million, four hundred thirty-four thousand, four hundred thirty-two".