221200112120000 has 560 divisors, whose sum is σ = 597150175776000. Its totient is φ = 80783308800000.

The previous prime is 221200112119867. The next prime is 221200112120003. The reversal of 221200112120000 is 21211002122.

It is not an unprimeable number, because it can be changed into a prime (221200112120003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81353478641 + ... + 81353481359.

It is an arithmetic number, because the mean of its divisors is an integer number (1066339599600).

Almost surely, 2^{221200112120000} is an apocalyptic number.

221200112120000 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 221200112120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298575087888000).

221200112120000 is an abundant number, since it is smaller than the sum of its proper divisors (375950063656000).

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

221200112120000 is a wasteful number, since it uses less digits than its factorization.

221200112120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4414 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221200112120000 its reverse (21211002122), we get a palindrome (221221323122122).

The spelling of 221200112120000 in words is "two hundred twenty-one trillion, two hundred billion, one hundred twelve million, one hundred twenty thousand".