120115200 has 312 divisors, whose sum is σ = 438775488. Its totient is φ = 28835840.

The previous prime is 120115181. The next prime is 120115241. The reversal of 120115200 is 2511021.

It is a super-2 number, since 2×120115200² = 28855322542080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 5222389 + ... + 5222411.

Almost surely, 2^120115200 is an apocalyptic number.

120115200 is a gapful number since it is divisible by the number (10) 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 120115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219387744).

120115200 is an abundant number, since it is smaller than the sum of its proper divisors (318660288).

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

120115200 is a wasteful number, since it uses less digits than its factorization.

120115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 120115200 is about 10959.7080253080. The cubic root of 120115200 is about 493.4002019577.

Adding to 120115200 its reverse (2511021), we get a palindrome (122626221).

It can be divided in two parts, 120 and 115200, that multiplied together give a cube (13824000 = 240³).

The spelling of 120115200 in words is "one hundred twenty million, one hundred fifteen thousand, two hundred".