22144101124200 has 288 divisors, whose sum is σ = 78735294993600. Its totient is φ = 5134863641600.

The previous prime is 22144101124157. The next prime is 22144101124213. The reversal of 22144101124200 is 242110144122.

It is a happy number.

It is a super-2 number, since 2×22144101124200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4960965 + ... + 8300564.

It is an arithmetic number, because the mean of its divisors is an integer number (273386440950).

Almost surely, 2^{22144101124200} is an apocalyptic number.

22144101124200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22144101124200 is an abundant number, since it is smaller than the sum of its proper divisors (56591193869400).

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

22144101124200 is a wasteful number, since it uses less digits than its factorization.

22144101124200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13261593 (or 13261573 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 22144101124200 its reverse (242110144122), we get a palindrome (22386211268322).

The spelling of 22144101124200 in words is "twenty-two trillion, one hundred forty-four billion, one hundred one million, one hundred twenty-four thousand, two hundred".