10023022231200 has 1440 divisors, whose sum is σ = 41005576225152. Its totient is φ = 2361913344000.

The previous prime is 10023022231193. The next prime is 10023022231217. The reversal of 10023022231200 is 213222032001.

10023022231200 is a `hidden beast` number, since 1 + 0 + 0 + 230 + 2 + 2 + 231 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 239 ways as a sum of consecutive naturals, for example, 3694441044 + ... + 3694443756.

Almost surely, 2^{10023022231200} is an apocalyptic number.

10023022231200 is a gapful number since it is divisible by the number (10) 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 10023022231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20502788112576).

10023022231200 is an abundant number, since it is smaller than the sum of its proper divisors (30982553993952).

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

10023022231200 is a wasteful number, since it uses less digits than its factorization.

10023022231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10023022231200 its reverse (213222032001), we get a palindrome (10236244263201).

The spelling of 10023022231200 in words is "ten trillion, twenty-three billion, twenty-two million, two hundred thirty-one thousand, two hundred".