4122302800 has 240 divisors, whose sum is σ = 13075627392. Its totient is φ = 1209139200.

The previous prime is 4122302791. The next prime is 4122302819. The reversal of 4122302800 is 82032214.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 519664 + ... + 527536.

Almost surely, 2^4122302800 is an apocalyptic number.

4122302800 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 4122302800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6537813696).

4122302800 is an abundant number, since it is smaller than the sum of its proper divisors (8953324592).

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

4122302800 is a wasteful number, since it uses less digits than its factorization.

4122302800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7926 (or 7915 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4122302800 is about 64205.1617862614. The cubic root of 4122302800 is about 1603.4175388204.

The spelling of 4122302800 in words is "four billion, one hundred twenty-two million, three hundred two thousand, eight hundred".