22420212342400 has 96 divisors (see below), whose sum is σ = 55633295491200. Its totient is φ = 8927869025280.

The previous prime is 22420212342391. The next prime is 22420212342427. The reversal of 22420212342400 is 424321202422.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14995630 + ... + 16422829.

It is an arithmetic number, because the mean of its divisors is an integer number (579513494700).

Almost surely, 2^{22420212342400} is an apocalyptic number.

22420212342400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22420212342400 is an abundant number, since it is smaller than the sum of its proper divisors (33213083148800).

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

22420212342400 is a wasteful number, since it uses less digits than its factorization.

22420212342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31418706 (or 31418689 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 22420212342400 its reverse (424321202422), we get a palindrome (22844533544822).

The spelling of 22420212342400 in words is "twenty-two trillion, four hundred twenty billion, two hundred twelve million, three hundred forty-two thousand, four hundred".