121920930432 has 384 divisors, whose sum is σ = 422902771200. Its totient is φ = 34240527360.

The previous prime is 121920930419. The next prime is 121920930433. The reversal of 121920930432 is 234039029121.

121920930432 is a `hidden beast` number, since 1 + 2 + 19 + 209 + 3 + 0 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (121920930433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12841207 + ... + 12850697.

It is an arithmetic number, because the mean of its divisors is an integer number (1101309300).

Almost surely, 2^121920930432 is an apocalyptic number.

121920930432 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 121920930432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211451385600).

121920930432 is an abundant number, since it is smaller than the sum of its proper divisors (300981840768).

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

121920930432 is an frugal number, since it uses more digits than its factorization.

121920930432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9586 (or 9562 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 121920930432 its reverse (234039029121), we get a palindrome (355959959553).

The spelling of 121920930432 in words is "one hundred twenty-one billion, nine hundred twenty million, nine hundred thirty thousand, four hundred thirty-two".