121288312320003 has 48 divisors (see below), whose sum is σ = 190847445793056. Its totient is φ = 73939672350720.

The previous prime is 121288312319953. The next prime is 121288312320053. The reversal of 121288312320003 is 300023213882121.

121288312320003 is a `hidden beast` number, since 1 + 2 + 12 + 8 + 8 + 312 + 320 + 0 + 0 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (121288312319953) and next prime (121288312320053).

It is a de Polignac number, because none of the positive numbers 2^k-121288312320003 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121288312320003.

It is not an unprimeable number, because it can be changed into a prime (121288312320053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80291758 + ... + 81788403.

It is an arithmetic number, because the mean of its divisors is an integer number (3975988454022).

Almost surely, 2^{121288312320003} is an apocalyptic number.

121288312320003 is a deficient number, since it is larger than the sum of its proper divisors (69559133473053).

121288312320003 is a wasteful number, since it uses less digits than its factorization.

121288312320003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162080324 (or 162080321 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 121288312320003 in words is "one hundred twenty-one trillion, two hundred eighty-eight billion, three hundred twelve million, three hundred twenty thousand, three".