20114122400 has 72 divisors (see below), whose sum is σ = 49213842300. Its totient is φ = 8027586560.

The previous prime is 20114122387. The next prime is 20114122417. The reversal of 20114122400 is 422141102.

It can be written as a sum of positive squares in 6 ways, for example, as 7391184784 + 12722937616 = 85972^2 + 112796^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331202 + ... + 387198.

Almost surely, 2^20114122400 is an apocalyptic number.

20114122400 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 20114122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24606921150).

20114122400 is an abundant number, since it is smaller than the sum of its proper divisors (29099719900).

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

20114122400 is a wasteful number, since it uses less digits than its factorization.

20114122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56466 (or 56453 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20114122400 its reverse (422141102), we get a palindrome (20536263502).

The spelling of 20114122400 in words is "twenty billion, one hundred fourteen million, one hundred twenty-two thousand, four hundred".