120112000201221 has 48 divisors (see below), whose sum is σ = 186472364018688. Its totient is φ = 68570540220000.

The previous prime is 120112000201217. The next prime is 120112000201229. The reversal of 120112000201221 is 122102000211021.

It is not a de Polignac number, because 120112000201221 - 2² = 120112000201217 is a prime.

It is a super-2 number, since 2×120112000201221² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120112000201221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120112000201229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 756431566 + ... + 756590336.

It is an arithmetic number, because the mean of its divisors is an integer number (3884840917056).

Almost surely, 2^{120112000201221} is an apocalyptic number.

It is an amenable number.

120112000201221 is a deficient number, since it is larger than the sum of its proper divisors (66360363817467).

120112000201221 is a wasteful number, since it uses less digits than its factorization.

120112000201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163622 (or 163615 counting only the distinct ones).

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

Adding to 120112000201221 its reverse (122102000211021), we get a palindrome (242214000412242).

The spelling of 120112000201221 in words is "one hundred twenty trillion, one hundred twelve billion, two hundred one thousand, two hundred twenty-one".