221121211211120 has 80 divisors (see below), whose sum is σ = 561278902145760. Its totient is φ = 80345332838400.

The previous prime is 221121211211107. The next prime is 221121211211129. The reversal of 221121211211120 is 21112112121122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221121211211092 and 221121211211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221121211211129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96334301 + ... + 98602940.

It is an arithmetic number, because the mean of its divisors is an integer number (7015986276822).

Almost surely, 2^{221121211211120} is an apocalyptic number.

221121211211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121211211120 is an abundant number, since it is smaller than the sum of its proper divisors (340157690934640).

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

221121211211120 is a wasteful number, since it uses less digits than its factorization.

221121211211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194938554 (or 194938548 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 221121211211120 its reverse (21112112121122), we get a palindrome (242233323332242).

The spelling of 221121211211120 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty".