22401505012000 has 96 divisors (see below), whose sum is σ = 55079575190640. Its totient is φ = 8954240204800.

The previous prime is 22401505011953. The next prime is 22401505012013. The reversal of 22401505012000 is 21050510422.

It can be written as a sum of positive squares in 8 ways, for example, as 108338405904 + 22293166606096 = 329148^2 + 4721564^2 .

It is a super-2 number, since 2×22401505012000² (a number of 28 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 3648642 + ... + 7623358.

Almost surely, 2^{22401505012000} is an apocalyptic number.

22401505012000 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 22401505012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27539787595320).

22401505012000 is an abundant number, since it is smaller than the sum of its proper divisors (32678070178640).

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

22401505012000 is a wasteful number, since it uses less digits than its factorization.

22401505012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976151 (or 3976133 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 22401505012000 its reverse (21050510422), we get a palindrome (22422555522422).

The spelling of 22401505012000 in words is "twenty-two trillion, four hundred one billion, five hundred five million, twelve thousand".