12773397372121 has 27 divisors (see below), whose sum is σ = 13309068979999. Its totient is φ = 12258782270000.

The previous prime is 12773397372101. The next prime is 12773397372133. The reversal of 12773397372121 is 12127379337721.

It is a happy number.

The square root of 12773397372121 is 3573989.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6698059739721 + 6075337632400 = 2588061^2 + 2464820^2 .

It is not a de Polignac number, because 12773397372121 - 2⁷ = 12773397371993 is a prime.

It is a super-2 number, since 2×12773397372121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12773397372101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26015065686 + ... + 26015066176.

Almost surely, 2^{12773397372121} is an apocalyptic number.

12773397372121 is the 3573989-th square number.

12773397372121 is the 1786995-th centered octagonal number.

It is an amenable number.

12773397372121 is a deficient number, since it is larger than the sum of its proper divisors (535671607878).

12773397372121 is an frugal number, since it uses more digits than its factorization.

12773397372121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 771 counting only the distinct ones).

The product of its digits is 4667544, while the sum is 55.

The spelling of 12773397372121 in words is "twelve trillion, seven hundred seventy-three billion, three hundred ninety-seven million, three hundred seventy-two thousand, one hundred twenty-one".