8141212800 has 720 divisors, whose sum is σ = 35002343970. Its totient is φ = 1857945600.

The previous prime is 8141212787. The next prime is 8141212831. The reversal of 8141212800 is 82121418.

It can be written as a sum of positive squares in 3 ways, for example, as 7427681856 + 713530944 = 86184^2 + 26712^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 12700480 + ... + 12701120.

Almost surely, 2^8141212800 is an apocalyptic number.

8141212800 is a gapful number since it is divisible by the number (80) 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 8141212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17501171985).

8141212800 is an abundant number, since it is smaller than the sum of its proper divisors (26861131170).

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

8141212800 is a wasteful number, since it uses less digits than its factorization.

8141212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 8141212800 is about 90228.6695014395. The cubic root of 8141212800 is about 2011.6991646672.

The spelling of 8141212800 in words is "eight billion, one hundred forty-one million, two hundred twelve thousand, eight hundred".