8012149200 has 180 divisors, whose sum is σ = 30332204448. Its totient is φ = 1942329600.

The previous prime is 8012149183. The next prime is 8012149213. The reversal of 8012149200 is 29412108.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61564 + ... + 140763.

Almost surely, 2^8012149200 is an apocalyptic number.

8012149200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8012149200 is an abundant number, since it is smaller than the sum of its proper divisors (22320055248).

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

8012149200 is a wasteful number, since it uses less digits than its factorization.

8012149200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202362 (or 202348 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8012149200 is about 89510.6094270394. The cubic root of 8012149200 is about 2001.0119212547.

The spelling of 8012149200 in words is "eight billion, twelve million, one hundred forty-nine thousand, two hundred".