23200221113000 has 512 divisors, whose sum is σ = 59231007388800. Its totient is φ = 8472821760000.

The previous prime is 23200221112973. The next prime is 23200221113021. The reversal of 23200221113000 is 31112200232.

It can be written as a sum of positive squares in 64 ways, for example, as 1490045014276 + 21710176098724 = 1220674^2 + 4659418^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 23200221113000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56724256796 + ... + 56724257204.

Almost surely, 2^{23200221113000} is an apocalyptic number.

23200221113000 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 23200221113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29615503694400).

23200221113000 is an abundant number, since it is smaller than the sum of its proper divisors (36030786275800).

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

23200221113000 is a wasteful number, since it uses less digits than its factorization.

23200221113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 23200221113000 its reverse (31112200232), we get a palindrome (23231333313232).

The spelling of 23200221113000 in words is "twenty-three trillion, two hundred billion, two hundred twenty-one million, one hundred thirteen thousand".