7122124800 has 816 divisors, whose sum is σ = 31205383680. Its totient is φ = 1557135360.

The previous prime is 7122124759. The next prime is 7122124813. The reversal of 7122124800 is 84212217.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309657589 + ... + 309657611.

Almost surely, 2^7122124800 is an apocalyptic number.

7122124800 is a gapful number since it is divisible by the number (70) 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 7122124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15602691840).

7122124800 is an abundant number, since it is smaller than the sum of its proper divisors (24083258880).

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

7122124800 is an equidigital number, since it uses as much as digits as its factorization.

7122124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 7122124800 is about 84392.6821472099. The cubic root of 7122124800 is about 1923.9916954818.

The spelling of 7122124800 in words is "seven billion, one hundred twenty-two million, one hundred twenty-four thousand, eight hundred".