6260122800 has 120 divisors (see below), whose sum is σ = 22281438480. Its totient is φ = 1669363200.

The previous prime is 6260122769. The next prime is 6260122801. The reversal of 6260122800 is 82210626.

6260122800 is a `hidden beast` number, since 626 + 0 + 12 + 28 + 0 + 0 = 666.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (6260122801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279021 + ... + 300620.

It is an arithmetic number, because the mean of its divisors is an integer number (185678654).

Almost surely, 2^6260122800 is an apocalyptic number.

6260122800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6260122800 is an abundant number, since it is smaller than the sum of its proper divisors (16021315680).

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

6260122800 is a wasteful number, since it uses less digits than its factorization.

6260122800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579668 (or 579651 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6260122800 is about 79120.9378104178. The cubic root of 6260122800 is about 1843.0096852792.

The spelling of 6260122800 in words is "six billion, two hundred sixty million, one hundred twenty-two thousand, eight hundred".