22001341124400 has 240 divisors, whose sum is σ = 78962652876288. Its totient is φ = 5189505408000.

The previous prime is 22001341124369. The next prime is 22001341124471. The reversal of 22001341124400 is 442114310022.

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

It is a super-2 number, since 2×22001341124400² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22035496 + ... + 23012295.

Almost surely, 2^{22001341124400} is an apocalyptic number.

22001341124400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22001341124400 is an abundant number, since it is smaller than the sum of its proper divisors (56961311751888).

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

22001341124400 is a wasteful number, since it uses less digits than its factorization.

22001341124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45047860 (or 45047849 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22001341124400 its reverse (442114310022), we get a palindrome (22443455434422).

The spelling of 22001341124400 in words is "twenty-two trillion, one billion, three hundred forty-one million, one hundred twenty-four thousand, four hundred".