120221211120 has 80 divisors (see below), whose sum is σ = 373060304160. Its totient is φ = 32026770432.

The previous prime is 120221211109. The next prime is 120221211161. The reversal of 120221211120 is 21112122021.

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

It is a super-2 number, since 2×120221211120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120221211120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11935 + ... + 490494.

It is an arithmetic number, because the mean of its divisors is an integer number (4663253802).

Almost surely, 2^120221211120 is an apocalyptic number.

120221211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120221211120 is an abundant number, since it is smaller than the sum of its proper divisors (252839093040).

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

120221211120 is a wasteful number, since it uses less digits than its factorization.

120221211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503442 (or 503436 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120221211120 its reverse (21112122021), we get a palindrome (141333333141).

The spelling of 120221211120 in words is "one hundred twenty billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".