120887424 has 256 divisors, whose sum is σ = 430848000. Its totient is φ = 32596992.

The previous prime is 120887419. The next prime is 120887441. The reversal of 120887424 is 424788021.

It is a super-2 number, since 2×120887424² = 29227538562711552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 459517 + ... + 459779.

It is an arithmetic number, because the mean of its divisors is an integer number (1683000).

Almost surely, 2^120887424 is an apocalyptic number.

120887424 is a gapful number since it is divisible by the number (14) 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 120887424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215424000).

120887424 is an abundant number, since it is smaller than the sum of its proper divisors (309960576).

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

120887424 is a wasteful number, since it uses less digits than its factorization.

120887424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 120887424 is about 10994.8817183269. The cubic root of 120887424 is about 494.4553053411.

The spelling of 120887424 in words is "one hundred twenty million, eight hundred eighty-seven thousand, four hundred twenty-four".