221200121211120 has 60 divisors (see below), whose sum is σ = 742863740403096. Its totient is φ = 58986698989440.

The previous prime is 221200121211119. The next prime is 221200121211127. The reversal of 221200121211120 is 21112121002122.

221200121211120 is a `hidden beast` number, since 2 + 212 + 0 + 0 + 121 + 211 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×221200121211120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221200121211093 and 221200121211102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221200121211127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153611194566 + ... + 153611196005.

Almost surely, 2^{221200121211120} is an apocalyptic number.

221200121211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200121211120 is an abundant number, since it is smaller than the sum of its proper divisors (521663619191976).

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

221200121211120 is a wasteful number, since it uses less digits than its factorization.

221200121211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307222390590 (or 307222390581 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221200121211120 its reverse (21112121002122), we get a palindrome (242312242213242).

The spelling of 221200121211120 in words is "two hundred twenty-one trillion, two hundred billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty".