120982348032 has 288 divisors, whose sum is σ = 397035324672. Its totient is φ = 31847841792.

The previous prime is 120982347977. The next prime is 120982348127. The reversal of 120982348032 is 230843289021.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47312898 + ... + 47315454.

Almost surely, 2^120982348032 is an apocalyptic number.

120982348032 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 120982348032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198517662336).

120982348032 is an abundant number, since it is smaller than the sum of its proper divisors (276052976640).

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

120982348032 is a wasteful number, since it uses less digits than its factorization.

120982348032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 120982348032 in words is "one hundred twenty billion, nine hundred eighty-two million, three hundred forty-eight thousand, thirty-two".