120545600 has 168 divisors, whose sum is σ = 347715840. Its totient is φ = 40273920.

The previous prime is 120545587. The next prime is 120545627. The reversal of 120545600 is 6545021.

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, 526286 + ... + 526514.

Almost surely, 2^120545600 is an apocalyptic number.

120545600 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 120545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173857920).

120545600 is an abundant number, since it is smaller than the sum of its proper divisors (227170240).

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

120545600 is a wasteful number, since it uses less digits than its factorization.

120545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 120545600 is about 10979.3260266740. The cubic root of 120545600 is about 493.9888210685.

The spelling of 120545600 in words is "one hundred twenty million, five hundred forty-five thousand, six hundred".