221001221211120 has 120 divisors (see below), whose sum is σ = 848223734762976. Its totient is φ = 50514564847104.

The previous prime is 221001221211077. The next prime is 221001221211137. The reversal of 221001221211120 is 21112122100122.

221001221211120 is a `hidden beast` number, since 2 + 210 + 0 + 1 + 221 + 211 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×221001221211120² (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 = 221001221211093 and 221001221211102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21924719287 + ... + 21924729366.

Almost surely, 2^{221001221211120} is an apocalyptic number.

221001221211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001221211120 is an abundant number, since it is smaller than the sum of its proper divisors (627222513551856).

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

221001221211120 is a wasteful number, since it uses less digits than its factorization.

221001221211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43849448679 (or 43849448670 counting only the distinct ones).

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

Adding to 221001221211120 its reverse (21112122100122), we get a palindrome (242113343311242).

The spelling of 221001221211120 in words is "two hundred twenty-one trillion, one billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".