221112000000000 has 1560 divisors, whose sum is σ = 829818606432816. Its totient is φ = 56678400000000.

The previous prime is 221111999999941. The next prime is 221112000000011. The reversal of 221112000000000 is 211122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2663999999959 + ... + 2664000000041.

Almost surely, 2^{221112000000000} is an apocalyptic number.

221112000000000 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 221112000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414909303216408).

221112000000000 is an abundant number, since it is smaller than the sum of its proper divisors (608706606432816).

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

221112000000000 is an frugal number, since it uses more digits than its factorization.

221112000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 221112000000000 its reverse (211122), we get a palindrome (221112000211122).

The spelling of 221112000000000 in words is "two hundred twenty-one trillion, one hundred twelve billion", and thus it is an aban number.