121332040233121 has 8 divisors (see below), whose sum is σ = 121968135766664. Its totient is φ = 120696021319680.

The previous prime is 121332040233119. The next prime is 121332040233133.

121332040233121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 14151719521 + 121317888513600 = 118961^2 + 11014440^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121332040233121 - 2¹ = 121332040233119 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121332040233121.

It is not an unprimeable number, because it can be changed into a prime (121332040233161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15978240 + ... + 22315201.

It is an arithmetic number, because the mean of its divisors is an integer number (15246016970833).

Almost surely, 2^{121332040233121} is an apocalyptic number.

It is an amenable number.

121332040233121 is a deficient number, since it is larger than the sum of its proper divisors (636095533543).

121332040233121 is a wasteful number, since it uses less digits than its factorization.

121332040233121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38310051.

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 121332040233121 in words is "one hundred twenty-one trillion, three hundred thirty-two billion, forty million, two hundred thirty-three thousand, one hundred twenty-one".