6112801245600 has 864 divisors, whose sum is σ = 25728057298944. Its totient is φ = 1335299328000.

The previous prime is 6112801245503. The next prime is 6112801245611. The reversal of 6112801245600 is 65421082116.

It is a happy number.

6112801245600 is a `hidden beast` number, since 6 + 1 + 1 + 2 + 8 + 0 + 1 + 2 + 45 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2600084425 + ... + 2600086775.

It is an arithmetic number, because the mean of its divisors is an integer number (29777844096).

Almost surely, 2^{6112801245600} is an apocalyptic number.

6112801245600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6112801245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12864028649472).

6112801245600 is an abundant number, since it is smaller than the sum of its proper divisors (19615256053344).

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

6112801245600 is a wasteful number, since it uses less digits than its factorization.

6112801245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4650 (or 4634 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 6112801245600 in words is "six trillion, one hundred twelve billion, eight hundred one million, two hundred forty-five thousand, six hundred".