120827700 has 180 divisors, whose sum is σ = 447839392. Its totient is φ = 27604800.

The previous prime is 120827689. The next prime is 120827711. The reversal of 120827700 is 7728021.

It is an interprime number because it is at equal distance from previous prime (120827689) and next prime (120827711).

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 55635 + ... + 57765.

Almost surely, 2^120827700 is an apocalyptic number.

120827700 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 120827700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223919696).

120827700 is an abundant number, since it is smaller than the sum of its proper divisors (327011692).

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

120827700 is a wasteful number, since it uses less digits than its factorization.

120827700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 120827700 is about 10992.1653917688. The cubic root of 120827700 is about 494.3738639685.

The spelling of 120827700 in words is "one hundred twenty million, eight hundred twenty-seven thousand, seven hundred".