20112400 has 120 divisors (see below), whose sum is σ = 60335424. Its totient is φ = 6259200.

The previous prime is 20112361. The next prime is 20112401. The reversal of 20112400 is 421102.

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

It is not an unprimeable number, because it can be changed into a prime (20112401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30474 + ... + 31126.

Almost surely, 2^20112400 is an apocalyptic number.

20112400 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 20112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30167712).

20112400 is an abundant number, since it is smaller than the sum of its proper divisors (40223024).

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

20112400 is a wasteful number, since it uses less digits than its factorization.

20112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 20112400 is about 4484.6850502572. The cubic root of 20112400 is about 271.9493129311.

Adding to 20112400 its reverse (421102), we get a palindrome (20533502).

The spelling of 20112400 in words is "twenty million, one hundred twelve thousand, four hundred".