1125115967040 has 112 divisors (see below), whose sum is σ = 3847031176128. Its totient is φ = 276951619584.

The previous prime is 1125115966993. The next prime is 1125115967141. The reversal of 1125115967040 is 407695115211.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1125115966983 and 1125115967001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45064282 + ... + 45089241.

It is an arithmetic number, because the mean of its divisors is an integer number (34348492644).

Almost surely, 2^{1125115967040} is an apocalyptic number.

1125115967040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1125115967040 is an abundant number, since it is smaller than the sum of its proper divisors (2721915209088).

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

1125115967040 is a wasteful number, since it uses less digits than its factorization.

1125115967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90153556 (or 90153546 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 42.

The spelling of 1125115967040 in words is "one trillion, one hundred twenty-five billion, one hundred fifteen million, nine hundred sixty-seven thousand, forty".