1172812402961 has 32 divisors (see below), whose sum is σ = 1243076647680. Its totient is φ = 1104279035904.

The previous prime is 1172812402831. The next prime is 1172812402973. The reversal of 1172812402961 is 1692042182711.

It is a happy number.

1172812402961 is nontrivially palindromic in base 2, base 4 and base 16.

1172812402961 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a cyclic number.

It is not a de Polignac number, because 1172812402961 - 2³⁴ = 1155632533777 is a prime.

It is a Duffinian number.

1172812402961 is an undulating number in base 4.

1172812402961 is a nontrivial repdigit in base 16.

It is a plaindrome in base 16.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1172812402361) by changing a digit.

It is a nontrivial repunit in base 16.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555045041 + ... + 555047153.

It is an arithmetic number, because the mean of its divisors is an integer number (38846145240).

It is a Poulet number, since it divides 2^{1172812402960}-1.

Almost surely, 2^{1172812402961} is an apocalyptic number.

It is an amenable number.

1172812402961 is a deficient number, since it is larger than the sum of its proper divisors (70264244719).

1172812402961 is a wasteful number, since it uses less digits than its factorization.

1172812402961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305.

The product of its (nonzero) digits is 96768, while the sum is 44.

The spelling of 1172812402961 in words is "one trillion, one hundred seventy-two billion, eight hundred twelve million, four hundred two thousand, nine hundred sixty-one".