12177733777121 has 4 divisors (see below), whose sum is σ = 13284800484144. Its totient is φ = 11070667070100.

The previous prime is 12177733777109. The next prime is 12177733777159.

12177733777121 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a de Polignac number, because none of the positive numbers 2^k-12177733777121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12177733777421) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 553533353495 + ... + 553533353516.

It is an arithmetic number, because the mean of its divisors is an integer number (3321200121036).

Almost surely, 2^{12177733777121} is an apocalyptic number.

12177733777121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12177733777121 is a deficient number, since it is larger than the sum of its proper divisors (1107066707023).

12177733777121 is a wasteful number, since it uses less digits than its factorization.

12177733777121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107066707022.

The product of its digits is 4235364, while the sum is 56.

The spelling of 12177733777121 in words is "twelve trillion, one hundred seventy-seven billion, seven hundred thirty-three million, seven hundred seventy-seven thousand, one hundred twenty-one".