20123200 has 42 divisors (see below), whose sum is σ = 49519586. Its totient is φ = 8048640.

The previous prime is 20123179. The next prime is 20123231. The reversal of 20123200 is 232102.

It can be written as a sum of positive squares in 3 ways, for example, as 4631104 + 15492096 = 2152^2 + 3936^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4689 + ... + 7888.

Almost surely, 2^20123200 is an apocalyptic number.

20123200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20123200 is an abundant number, since it is smaller than the sum of its proper divisors (29396386).

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

20123200 is a wasteful number, since it uses less digits than its factorization.

20123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12599 (or 12584 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 20123200 is about 4485.8889865889. Note that the first 3 decimals coincide. The cubic root of 20123200 is about 271.9979815306.

Adding to 20123200 its reverse (232102), we get a palindrome (20355302).

The spelling of 20123200 in words is "twenty million, one hundred twenty-three thousand, two hundred".