221113002000 has 320 divisors, whose sum is σ = 790869381120. Its totient is φ = 52693696000.

The previous prime is 221113001983. The next prime is 221113002001. The reversal of 221113002000 is 200311122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (221113002001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3865609 + ... + 3922391.

It is an arithmetic number, because the mean of its divisors is an integer number (2471466816).

Almost surely, 2^221113002000 is an apocalyptic number.

221113002000 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 221113002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395434690560).

221113002000 is an abundant number, since it is smaller than the sum of its proper divisors (569756379120).

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

221113002000 is a wasteful number, since it uses less digits than its factorization.

221113002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56879 (or 56863 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 221113002000 its reverse (200311122), we get a palindrome (221313313122).

The spelling of 221113002000 in words is "two hundred twenty-one billion, one hundred thirteen million, two thousand".