122033100 has 72 divisors (see below), whose sum is σ = 403529728. Its totient is φ = 27892800.

The previous prime is 122033077. The next prime is 122033173. The reversal of 122033100 is 1330221.

It is a happy number.

It is a super-2 number, since 2×122033100² = 29784154991220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26956 + ... + 31155.

Almost surely, 2^122033100 is an apocalyptic number.

122033100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122033100 is an abundant number, since it is smaller than the sum of its proper divisors (281496628).

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

122033100 is a wasteful number, since it uses less digits than its factorization.

122033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58135 (or 58128 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 122033100 is about 11046.8592821670. The cubic root of 122033100 is about 496.0124162258.

Adding to 122033100 its reverse (1330221), we get a palindrome (123363321).

The spelling of 122033100 in words is "one hundred twenty-two million, thirty-three thousand, one hundred".