221121210112000 has 768 divisors, whose sum is σ = 619417963382400. Its totient is φ = 78104166400000.

The previous prime is 221121210111983. The next prime is 221121210112001. The reversal of 221121210112000 is 211012121122.

It is a super-2 number, since 2×221121210112000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221121210112001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15074040666 + ... + 15074055334.

Almost surely, 2^{221121210112000} is an apocalyptic number.

221121210112000 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 221121210112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309708981691200).

221121210112000 is an abundant number, since it is smaller than the sum of its proper divisors (398296753270400).

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

221121210112000 is a wasteful number, since it uses less digits than its factorization.

221121210112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14871 (or 14841 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221121210112000 its reverse (211012121122), we get a palindrome (221332222233122).

The spelling of 221121210112000 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, two hundred ten million, one hundred twelve thousand".