8131412000 has 48 divisors (see below), whose sum is σ = 19978889112. Its totient is φ = 3252563200.

The previous prime is 8131411963. The next prime is 8131412017. The reversal of 8131412000 is 2141318.

It can be written as a sum of positive squares in 4 ways, for example, as 4623456016 + 3507955984 = 67996^2 + 59228^2 .

It is a super-2 number, since 2×8131412000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1012427 + ... + 1020426.

Almost surely, 2^8131412000 is an apocalyptic number.

8131412000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8131412000 is an abundant number, since it is smaller than the sum of its proper divisors (11847477112).

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

8131412000 is a wasteful number, since it uses less digits than its factorization.

8131412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032878 (or 2032860 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 8131412000 is about 90174.3422487794. The cubic root of 8131412000 is about 2010.8915790834.

Adding to 8131412000 its reverse (2141318), we get a palindrome (8133553318).

The spelling of 8131412000 in words is "eight billion, one hundred thirty-one million, four hundred twelve thousand".