120033112121 has 16 divisors (see below), whose sum is σ = 132476011920. Its totient is φ = 108051041280.

The previous prime is 120033112081. The next prime is 120033112139. The reversal of 120033112121 is 121211330021.

It can be written as a sum of positive squares in 8 ways, for example, as 98009068096 + 22024044025 = 313064^2 + 148405^2 .

It is not a de Polignac number, because 120033112121 - 2¹⁴ = 120033095737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 120033112121.

It is not an unprimeable number, because it can be changed into a prime (120033112721) 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, 1228415 + ... + 1322523.

It is an arithmetic number, because the mean of its divisors is an integer number (8279750745).

Almost surely, 2^120033112121 is an apocalyptic number.

It is an amenable number.

120033112121 is a deficient number, since it is larger than the sum of its proper divisors (12442899799).

120033112121 is a wasteful number, since it uses less digits than its factorization.

120033112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96556.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 120033112121 its reverse (121211330021), we get a palindrome (241244442142).

The spelling of 120033112121 in words is "one hundred twenty billion, thirty-three million, one hundred twelve thousand, one hundred twenty-one".