123120121021321 has 8 divisors (see below), whose sum is σ = 124355807030664. Its totient is φ = 121884761971200.

The previous prime is 123120121021277. The next prime is 123120121021361.

It is a happy number.

123120121021321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 19210864320400 + 103909256700921 = 4383020^2 + 10193589^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123120121021321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123120121021292 and 123120121021301.

It is not an unprimeable number, because it can be changed into a prime (123120121021361) 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, 80982870 + ... + 82489183.

It is an arithmetic number, because the mean of its divisors is an integer number (15544475878833).

Almost surely, 2^{123120121021321} is an apocalyptic number.

It is an amenable number.

123120121021321 is a deficient number, since it is larger than the sum of its proper divisors (1235686009343).

123120121021321 is a wasteful number, since it uses less digits than its factorization.

123120121021321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163479611.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 123120121021321 in words is "one hundred twenty-three trillion, one hundred twenty billion, one hundred twenty-one million, twenty-one thousand, three hundred twenty-one".