120922200 has 288 divisors, whose sum is σ = 485571600. Its totient is φ = 27578880.

The previous prime is 120922189. The next prime is 120922231. The reversal of 120922200 is 2229021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 264372 + ... + 264828.

Almost surely, 2^120922200 is an apocalyptic number.

120922200 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 120922200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242785800).

120922200 is an abundant number, since it is smaller than the sum of its proper divisors (364649400).

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

120922200 is a wasteful number, since it uses less digits than its factorization.

120922200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 120922200 is about 10996.4630677323. The cubic root of 120922200 is about 494.5027145436.

It can be divided in two parts, 1209 and 22200, that added together give a square (23409 = 153²).

The spelling of 120922200 in words is "one hundred twenty million, nine hundred twenty-two thousand, two hundred".