120019632 has 80 divisors (see below), whose sum is σ = 323431680. Its totient is φ = 38304000.

The previous prime is 120019621. The next prime is 120019633. The reversal of 120019632 is 236910021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (120019633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209907 + ... + 210477.

It is an arithmetic number, because the mean of its divisors is an integer number (4042896).

Almost surely, 2^120019632 is an apocalyptic number.

120019632 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 120019632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161715840).

120019632 is an abundant number, since it is smaller than the sum of its proper divisors (203412048).

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

120019632 is a wasteful number, since it uses less digits than its factorization.

120019632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 120019632 is about 10955.3471875610. The cubic root of 120019632 is about 493.2693115524.

Adding to 120019632 its reverse (236910021), we get a palindrome (356929653).

The spelling of 120019632 in words is "one hundred twenty million, nineteen thousand, six hundred thirty-two".