1121251374945 has 48 divisors (see below), whose sum is σ = 2093174363280. Its totient is φ = 551955368448.

The previous prime is 1121251374913. The next prime is 1121251374979. The reversal of 1121251374945 is 5494731521211.

1121251374945 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 25 + 137 + 494 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 491423432256 + 629827942689 = 701016^2 + 793617^2 .

It is not a de Polignac number, because 1121251374945 - 2⁵ = 1121251374913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1121251374945.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7713759 + ... + 7857771.

It is an arithmetic number, because the mean of its divisors is an integer number (43607799235).

Almost surely, 2^{1121251374945} is an apocalyptic number.

1121251374945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1121251374945 is a deficient number, since it is larger than the sum of its proper divisors (971922988335).

1121251374945 is a wasteful number, since it uses less digits than its factorization.

1121251374945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157346 (or 157343 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 1121251374945 in words is "one trillion, one hundred twenty-one billion, two hundred fifty-one million, three hundred seventy-four thousand, nine hundred forty-five".