120414321432 has 96 divisors (see below), whose sum is σ = 329760709200. Its totient is φ = 39691911168.

The previous prime is 120414321413. The next prime is 120414321487. The reversal of 120414321432 is 234123414021.

120414321432 is a `hidden beast` number, since 1 + 2 + 0 + 414 + 3 + 214 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120414321396 and 120414321405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3587544 + ... + 3620952.

Almost surely, 2^120414321432 is an apocalyptic number.

120414321432 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 120414321432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164880354600).

120414321432 is an abundant number, since it is smaller than the sum of its proper divisors (209346387768).

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

120414321432 is a wasteful number, since it uses less digits than its factorization.

120414321432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33977 (or 33970 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 120414321432 its reverse (234123414021), we get a palindrome (354537735453).

The spelling of 120414321432 in words is "one hundred twenty billion, four hundred fourteen million, three hundred twenty-one thousand, four hundred thirty-two".