120122800 has 60 divisors (see below), whose sum is σ = 329830576. Its totient is φ = 41184000.

The previous prime is 120122797. The next prime is 120122803. The reversal of 120122800 is 8221021.

It is an interprime number because it is at equal distance from previous prime (120122797) and next prime (120122803).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (120122803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18651 + ... + 24250.

Almost surely, 2^120122800 is an apocalyptic number.

120122800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120122800 is an abundant number, since it is smaller than the sum of its proper divisors (209707776).

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

120122800 is a wasteful number, since it uses less digits than its factorization.

120122800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42926 (or 42915 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 120122800 is about 10960.0547443888. The cubic root of 120122800 is about 493.4106079748.

Adding to 120122800 its reverse (8221021), we get a palindrome (128343821).

The spelling of 120122800 in words is "one hundred twenty million, one hundred twenty-two thousand, eight hundred".