122161581432 has 160 divisors (see below), whose sum is σ = 376213432320. Its totient is φ = 36726903360.

The previous prime is 122161581427. The next prime is 122161581439. The reversal of 122161581432 is 234185161221.

122161581432 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 615 + 8 + 1 + 4 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122161581439) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 837783 + ... + 972729.

It is an arithmetic number, because the mean of its divisors is an integer number (2351333952).

Almost surely, 2^122161581432 is an apocalyptic number.

122161581432 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 122161581432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188106716160).

122161581432 is an abundant number, since it is smaller than the sum of its proper divisors (254051850888).

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

122161581432 is a wasteful number, since it uses less digits than its factorization.

122161581432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135103 (or 135090 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The spelling of 122161581432 in words is "one hundred twenty-two billion, one hundred sixty-one million, five hundred eighty-one thousand, four hundred thirty-two".