10022231232000 has 960 divisors, whose sum is σ = 40565895866496. Its totient is φ = 2359708876800.

The previous prime is 10022231231993. The next prime is 10022231232017. The reversal of 10022231232000 is 23213222001.

10022231232000 is a `hidden beast` number, since 10 + 0 + 2 + 22 + 312 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172194904 + ... + 172253096.

Almost surely, 2^{10022231232000} is an apocalyptic number.

10022231232000 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 10022231232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20282947933248).

10022231232000 is an abundant number, since it is smaller than the sum of its proper divisors (30543664634496).

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

10022231232000 is a wasteful number, since it uses less digits than its factorization.

10022231232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58268 (or 58239 counting only the distinct ones).

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

Adding to 10022231232000 its reverse (23213222001), we get a palindrome (10045444454001).

The spelling of 10022231232000 in words is "ten trillion, twenty-two billion, two hundred thirty-one million, two hundred thirty-two thousand".