20112042400 has 72 divisors (see below), whose sum is σ = 49157103744. Its totient is φ = 8035219200.

The previous prime is 20112042397. The next prime is 20112042403. The reversal of 20112042400 is 424021102.

It is an interprime number because it is at equal distance from previous prime (20112042397) and next prime (20112042403).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20112042403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 675835 + ... + 704965.

It is an arithmetic number, because the mean of its divisors is an integer number (682737552).

Almost surely, 2^20112042400 is an apocalyptic number.

20112042400 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 20112042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24578551872).

20112042400 is an abundant number, since it is smaller than the sum of its proper divisors (29045061344).

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

20112042400 is a wasteful number, since it uses less digits than its factorization.

20112042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30014 (or 30001 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20112042400 its reverse (424021102), we get a palindrome (20536063502).

The spelling of 20112042400 in words is "twenty billion, one hundred twelve million, forty-two thousand, four hundred".