22201213012400 has 120 divisors (see below), whose sum is σ = 53957637561600. Its totient is φ = 8777462425600.

The previous prime is 22201213012399. The next prime is 22201213012439. The reversal of 22201213012400 is 421031210222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97465841 + ... + 97693359.

It is an arithmetic number, because the mean of its divisors is an integer number (449646979680).

Almost surely, 2^{22201213012400} is an apocalyptic number.

22201213012400 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 22201213012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26978818780800).

22201213012400 is an abundant number, since it is smaller than the sum of its proper divisors (31756424549200).

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

22201213012400 is a wasteful number, since it uses less digits than its factorization.

22201213012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230367 (or 230356 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 22201213012400 its reverse (421031210222), we get a palindrome (22622244222622).

The spelling of 22201213012400 in words is "twenty-two trillion, two hundred one billion, two hundred thirteen million, twelve thousand, four hundred".