22812062400 has 504 divisors, whose sum is σ = 87772548864. Its totient is φ = 5816448000.

The previous prime is 22812062393. The next prime is 22812062407. The reversal of 22812062400 is 426021822.

It is a happy number.

22812062400 is a `hidden beast` number, since 2 + 28 + 12 + 0 + 624 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22812062393) and next prime (22812062407).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22812062407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8941125 + ... + 8943675.

Almost surely, 2^22812062400 is an apocalyptic number.

22812062400 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 22812062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43886274432).

22812062400 is an abundant number, since it is smaller than the sum of its proper divisors (64960486464).

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

22812062400 is a wasteful number, since it uses less digits than its factorization.

22812062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 22812062400 in words is "twenty-two billion, eight hundred twelve million, sixty-two thousand, four hundred".