21150122400 has 432 divisors, whose sum is σ = 82070247168. Its totient is φ = 5124979200.

The previous prime is 21150122387. The next prime is 21150122407. The reversal of 21150122400 is 422105112.

21150122400 is a `hidden beast` number, since 211 + 50 + 1 + 2 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21150122407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9582097 + ... + 9584303.

It is an arithmetic number, because the mean of its divisors is an integer number (189977424).

Almost surely, 2^21150122400 is an apocalyptic number.

21150122400 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 21150122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41035123584).

21150122400 is an abundant number, since it is smaller than the sum of its proper divisors (60920124768).

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

21150122400 is a wasteful number, since it uses less digits than its factorization.

21150122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 21150122400 its reverse (422105112), we get a palindrome (21572227512).

The spelling of 21150122400 in words is "twenty-one billion, one hundred fifty million, one hundred twenty-two thousand, four hundred".