221122032120000 has 1680 divisors, whose sum is σ = 936116012886912. Its totient is φ = 49278136320000.

The previous prime is 221122032119999. The next prime is 221122032120037. The reversal of 221122032120000 is 21230221122.

221122032120000 is a `hidden beast` number, since 2 + 21 + 122 + 0 + 321 + 200 + 0 + 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 239 ways as a sum of consecutive naturals, for example, 2894721807 + ... + 2894798193.

Almost surely, 2^{221122032120000} is an apocalyptic number.

221122032120000 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 221122032120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468058006443456).

221122032120000 is an abundant number, since it is smaller than the sum of its proper divisors (714993980766912).

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

221122032120000 is a wasteful number, since it uses less digits than its factorization.

221122032120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76496 (or 76468 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221122032120000 its reverse (21230221122), we get a palindrome (221143262341122).

The spelling of 221122032120000 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, thirty-two million, one hundred twenty thousand".