4122316800 has 780 divisors, whose sum is σ = 17697278016. Its totient is φ = 928972800.

The previous prime is 4122316769. The next prime is 4122316831. The reversal of 4122316800 is 86132214.

It is an interprime number because it is at equal distance from previous prime (4122316769) and next prime (4122316831).

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 (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 58060765 + ... + 58060835.

Almost surely, 2^4122316800 is an apocalyptic number.

4122316800 is a gapful number since it is divisible by the number (40) 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 4122316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8848639008).

4122316800 is an abundant number, since it is smaller than the sum of its proper divisors (13574961216).

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

4122316800 is an equidigital number, since it uses as much as digits as its factorization.

4122316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

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

The square root of 4122316800 is about 64205.2708116709. The cubic root of 4122316800 is about 1603.4193539726.

The spelling of 4122316800 in words is "four billion, one hundred twenty-two million, three hundred sixteen thousand, eight hundred".