23000132311200 has 864 divisors, whose sum is σ = 90933497508672. Its totient is φ = 5421219840000.

The previous prime is 23000132311193. The next prime is 23000132311243. The reversal of 23000132311200 is 211323100032.

23000132311200 is a `hidden beast` number, since 2 + 300 + 0 + 1 + 32 + 311 + 20 + 0 = 666.

It is a super-5 number, since 5×23000132311200⁵ (a number of 68 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8067389775 + ... + 8067392625.

It is an arithmetic number, because the mean of its divisors is an integer number (105247103598).

Almost surely, 2^{23000132311200} is an apocalyptic number.

23000132311200 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 23000132311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45466748754336).

23000132311200 is an abundant number, since it is smaller than the sum of its proper divisors (67933365197472).

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

23000132311200 is a wasteful number, since it uses less digits than its factorization.

23000132311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5678 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23000132311200 its reverse (211323100032), we get a palindrome (23211455411232).

It can be divided in two parts, 23000132 and 311200, that added together give a palindrome (23311332).

The spelling of 23000132311200 in words is "twenty-three trillion, one hundred thirty-two million, three hundred eleven thousand, two hundred".