1193007878001 has 45 divisors (see below), whose sum is σ = 1795894405041. Its totient is φ = 789250389408.

The previous prime is 1193007877991. The next prime is 1193007878047. The reversal of 1193007878001 is 1008787003911.

It is a happy number.

The square root of 1193007878001 is 1092249.

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

It can be written as a sum of positive squares in 4 ways, for example, as 546784823601 + 646223054400 = 739449^2 + 803880^2 .

It is not a de Polignac number, because 1193007878001 - 2¹⁵ = 1193007845233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1193007808001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1543347451 + ... + 1543348223.

Almost surely, 2^{1193007878001} is an apocalyptic number.

1193007878001 is the 1092249-th square number.

1193007878001 is the 546125-th centered octagonal number.

It is an amenable number.

1193007878001 is a deficient number, since it is larger than the sum of its proper divisors (602886527040).

1193007878001 is an frugal number, since it uses more digits than its factorization.

1193007878001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 1193007878001 in words is "one trillion, one hundred ninety-three billion, seven million, eight hundred seventy-eight thousand, one".