123121121993 has 2 divisors, whose sum is σ = 123121121994. Its totient is φ = 123121121992.

The previous prime is 123121121987. The next prime is 123121122011. The reversal of 123121121993 is 399121121321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92579015824 + 30542106169 = 304268^2 + 174763^2 .

It is a cyclic number.

It is not a de Polignac number, because 123121121993 - 2³² = 118826154697 is a prime.

It is a super-4 number, since 4×123121121993⁴ (a number of 45 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (123121121923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61560560996 + 61560560997.

It is an arithmetic number, because the mean of its divisors is an integer number (61560560997).

Almost surely, 2^123121121993 is an apocalyptic number.

It is an amenable number.

123121121993 is a deficient number, since it is larger than the sum of its proper divisors (1).

123121121993 is an equidigital number, since it uses as much as digits as its factorization.

123121121993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5832, while the sum is 35.

The spelling of 123121121993 in words is "one hundred twenty-three billion, one hundred twenty-one million, one hundred twenty-one thousand, nine hundred ninety-three".