20124110400 has 504 divisors, whose sum is σ = 71359227360. Its totient is φ = 4963368960.

The previous prime is 20124110393. The next prime is 20124110423. The reversal of 20124110400 is 401142102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20124110400.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 123460719 + ... + 123460881.

Almost surely, 2^20124110400 is an apocalyptic number.

20124110400 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 20124110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35679613680).

20124110400 is an abundant number, since it is smaller than the sum of its proper divisors (51235116960).

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

20124110400 is a wasteful number, since it uses less digits than its factorization.

20124110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20124110400 its reverse (401142102), we get a palindrome (20525252502).

The spelling of 20124110400 in words is "twenty billion, one hundred twenty-four million, one hundred ten thousand, four hundred".