120294288432 has 120 divisors (see below), whose sum is σ = 350041595904. Its totient is φ = 39992906304.

The previous prime is 120294288397. The next prime is 120294288473. The reversal of 120294288432 is 234882492021.

120294288432 is a `hidden beast` number, since 1 + 202 + 9 + 4 + 2 + 8 + 8 + 432 = 666.

It is a super-3 number, since 3×120294288432³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 1448713 + ... + 1529495.

Almost surely, 2^120294288432 is an apocalyptic number.

120294288432 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 120294288432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175020797952).

120294288432 is an abundant number, since it is smaller than the sum of its proper divisors (229747307472).

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

120294288432 is an equidigital number, since it uses as much as digits as its factorization.

120294288432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81189 (or 81171 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 120294288432 in words is "one hundred twenty billion, two hundred ninety-four million, two hundred eighty-eight thousand, four hundred thirty-two".