11331121201296 has 80 divisors (see below), whose sum is σ = 31524275442240. Its totient is φ = 3486441853440.

The previous prime is 11331121201289. The next prime is 11331121201297. The reversal of 11331121201296 is 69210212113311.

It is not an unprimeable number, because it can be changed into a prime (11331121201297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53726611 + ... + 53937101.

It is an arithmetic number, because the mean of its divisors is an integer number (394053443028).

Almost surely, 2^{11331121201296} is an apocalyptic number.

11331121201296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11331121201296 is an abundant number, since it is smaller than the sum of its proper divisors (20193154240944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11331121201296 is a wasteful number, since it uses less digits than its factorization.

11331121201296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296784 (or 296778 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The spelling of 11331121201296 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-one million, two hundred one thousand, two hundred ninety-six".