120946500 has 288 divisors, whose sum is σ = 429112320. Its totient is φ = 29376000.

The previous prime is 120946493. The next prime is 120946523. The reversal of 120946500 is 5649021.

120946500 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 4 + 650 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3901485 + ... + 3901515.

Almost surely, 2^120946500 is an apocalyptic number.

120946500 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 120946500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214556160).

120946500 is an abundant number, since it is smaller than the sum of its proper divisors (308165820).

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

120946500 is a wasteful number, since it uses less digits than its factorization.

120946500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 120946500 is about 10997.5679129524. The cubic root of 120946500 is about 494.5358366974.

The spelling of 120946500 in words is "one hundred twenty million, nine hundred forty-six thousand, five hundred".