23220312200960 has 144 divisors (see below), whose sum is σ = 63641388787200. Its totient is φ = 7951758348288.

The previous prime is 23220312200959. The next prime is 23220312201071. The reversal of 23220312200960 is 6900221302232.

It is a super-3 number, since 3×23220312200960³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5973011 + ... + 9061869.

It is an arithmetic number, because the mean of its divisors is an integer number (441954088800).

Almost surely, 2^{23220312200960} is an apocalyptic number.

23220312200960 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 23220312200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31820694393600).

23220312200960 is an abundant number, since it is smaller than the sum of its proper divisors (40421076586240).

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

23220312200960 is an equidigital number, since it uses as much as digits as its factorization.

23220312200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089726 (or 3089712 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 23220312200960 in words is "twenty-three trillion, two hundred twenty billion, three hundred twelve million, two hundred thousand, nine hundred sixty".