221112000222000 has 640 divisors, whose sum is σ = 739185509956608. Its totient is φ = 56818824192000.

The previous prime is 221112000221999. The next prime is 221112000222017. The reversal of 221112000222000 is 222000211122.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 13473393795 + ... + 13473410205.

Almost surely, 2^{221112000222000} is an apocalyptic number.

221112000222000 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 221112000222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369592754978304).

221112000222000 is an abundant number, since it is smaller than the sum of its proper divisors (518073509734608).

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

221112000222000 is a wasteful number, since it uses less digits than its factorization.

221112000222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17054 (or 17038 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221112000222000 its reverse (222000211122), we get a palindrome (221334000433122).

The spelling of 221112000222000 in words is "two hundred twenty-one trillion, one hundred twelve billion, two hundred twenty-two thousand".