1160226145200 has 120 divisors (see below), whose sum is σ = 3737125437136. Its totient is φ = 307684224000.

The previous prime is 1160226145159. The next prime is 1160226145213. The reversal of 1160226145200 is 25416220611.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1160226145200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 2453671 + ... + 2888070.

Almost surely, 2^{1160226145200} is an apocalyptic number.

1160226145200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1160226145200 is an abundant number, since it is smaller than the sum of its proper divisors (2576899291936).

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

1160226145200 is a wasteful number, since it uses less digits than its factorization.

1160226145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5341943 (or 5341932 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 1160226145200 in words is "one trillion, one hundred sixty billion, two hundred twenty-six million, one hundred forty-five thousand, two hundred".