221220112113000 has 1536 divisors, whose sum is σ = 1031072079098880. Its totient is φ = 41284961280000.

The previous prime is 221220112112971. The next prime is 221220112113041. The reversal of 221220112113000 is 311211022122.

221220112113000 is a `hidden beast` number, since 2 + 21 + 220 + 1 + 121 + 1 + 300 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 333001170 + ... + 333664830.

It is an arithmetic number, because the mean of its divisors is an integer number (671270884830).

Almost surely, 2^{221220112113000} is an apocalyptic number.

221220112113000 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 221220112113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515536039549440).

221220112113000 is an abundant number, since it is smaller than the sum of its proper divisors (809851966985880).

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

221220112113000 is a wasteful number, since it uses less digits than its factorization.

221220112113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663756 (or 663739 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 221220112113000 its reverse (311211022122), we get a palindrome (221531323135122).

The spelling of 221220112113000 in words is "two hundred twenty-one trillion, two hundred twenty billion, one hundred twelve million, one hundred thirteen thousand".