20124900 has 108 divisors (see below), whose sum is σ = 64318800. Its totient is φ = 5261760.

The previous prime is 20124893. The next prime is 20124911. The reversal of 20124900 is 942102.

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

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 35 ways as a sum of consecutive naturals, for example, 52911 + ... + 53289.

Almost surely, 2^20124900 is an apocalyptic number.

20124900 is a gapful number since it is divisible by the number (20) 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 20124900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32159400).

20124900 is an abundant number, since it is smaller than the sum of its proper divisors (44193900).

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

20124900 is a wasteful number, since it uses less digits than its factorization.

20124900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 448 counting only the distinct ones).

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

The square root of 20124900 is about 4486.0784656535. The cubic root of 20124900 is about 272.0056407423.

The spelling of 20124900 in words is "twenty million, one hundred twenty-four thousand, nine hundred".