2221331112000 has 5376 divisors, whose sum is σ = 11838510028800. Its totient is φ = 390168576000.

The previous prime is 2221331111959. The next prime is 2221331112023. The reversal of 2221331112000 is 2111331222.

2221331112000 is a `hidden beast` number, since 2 + 221 + 331 + 112 + 0 + 0 + 0 = 666.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 60035975982 + ... + 60035976018.

It is an arithmetic number, because the mean of its divisors is an integer number (2202103800).

Almost surely, 2^{2221331112000} is an apocalyptic number.

2221331112000 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 2221331112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5919255014400).

2221331112000 is an abundant number, since it is smaller than the sum of its proper divisors (9617178916800).

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

2221331112000 is a wasteful number, since it uses less digits than its factorization.

2221331112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2221331112000 its reverse (2111331222), we get a palindrome (2223442443222).

The spelling of 2221331112000 in words is "two trillion, two hundred twenty-one billion, three hundred thirty-one million, one hundred twelve thousand".