22450221512400 has 240 divisors, whose sum is σ = 78979858804800. Its totient is φ = 5405950771200.

The previous prime is 22450221512351. The next prime is 22450221512417. The reversal of 22450221512400 is 421512205422.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3740497 + ... + 7674096.

It is an arithmetic number, because the mean of its divisors is an integer number (329082745020).

Almost surely, 2^{22450221512400} is an apocalyptic number.

22450221512400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22450221512400 is an abundant number, since it is smaller than the sum of its proper divisors (56529637292400).

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

22450221512400 is a wasteful number, since it uses less digits than its factorization.

22450221512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11414774 (or 11414763 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 22450221512400 its reverse (421512205422), we get a palindrome (22871733717822).

The spelling of 22450221512400 in words is "twenty-two trillion, four hundred fifty billion, two hundred twenty-one million, five hundred twelve thousand, four hundred".