120511872 has 144 divisors (see below), whose sum is σ = 376119900. Its totient is φ = 37020672.

The previous prime is 120511847. The next prime is 120511873. The reversal of 120511872 is 278115021.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×120511872² = 29046222585888768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120511873) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194379 + ... + 194997.

Almost surely, 2^120511872 is an apocalyptic number.

120511872 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 120511872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188059950).

120511872 is an abundant number, since it is smaller than the sum of its proper divisors (255608028).

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

120511872 is a wasteful number, since it uses less digits than its factorization.

120511872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 120511872 is about 10977.7899415137. The cubic root of 120511872 is about 493.9427449802.

Adding to 120511872 its reverse (278115021), we get a palindrome (398626893).

The spelling of 120511872 in words is "one hundred twenty million, five hundred eleven thousand, eight hundred seventy-two".