6112345200 has 120 divisors (see below), whose sum is σ = 21086077488. Its totient is φ = 1504573440.

The previous prime is 6112345193. The next prime is 6112345207. The reversal of 6112345200 is 25432116.

It is an interprime number because it is at equal distance from previous prime (6112345193) and next prime (6112345207).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6112345207) by changing a digit.

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, 180309 + ... + 211508.

Almost surely, 2^6112345200 is an apocalyptic number.

6112345200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6112345200 is an abundant number, since it is smaller than the sum of its proper divisors (14973732288).

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

6112345200 is a wasteful number, since it uses less digits than its factorization.

6112345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391851 (or 391840 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 6112345200 is about 78181.4888576573. The cubic root of 6112345200 is about 1828.3919105062.

Adding to 6112345200 its reverse (25432116), we get a palindrome (6137777316).

The spelling of 6112345200 in words is "six billion, one hundred twelve million, three hundred forty-five thousand, two hundred".