23040013120000 has 200 divisors, whose sum is σ = 57573762745356. Its totient is φ = 9208252416000.

The previous prime is 23040013119983. The next prime is 23040013120037. The reversal of 23040013120000 is 2131004032.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 6602761933056 + 16437251186944 = 2569584^2 + 4054288^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 19 ways as a sum of consecutive naturals, for example, 388130322 + ... + 388189678.

Almost surely, 2^{23040013120000} is an apocalyptic number.

23040013120000 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 23040013120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28786881372678).

23040013120000 is an abundant number, since it is smaller than the sum of its proper divisors (34533749625356).

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

23040013120000 is an frugal number, since it uses more digits than its factorization.

23040013120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60608 (or 60577 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23040013120000 its reverse (2131004032), we get a palindrome (23042144124032).

The spelling of 23040013120000 in words is "twenty-three trillion, forty billion, thirteen million, one hundred twenty thousand".