1312140000 has 240 divisors, whose sum is σ = 4534548480. Its totient is φ = 331200000.

The previous prime is 1312139977. The next prime is 1312140017. The reversal of 1312140000 is 412131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1312140000² = 3443422759200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1139425 + ... + 1140575.

It is an arithmetic number, because the mean of its divisors is an integer number (18893952).

Almost surely, 2^1312140000 is an apocalyptic number.

1312140000 is a gapful number since it is divisible by the number (10) 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 1312140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267274240).

1312140000 is an abundant number, since it is smaller than the sum of its proper divisors (3222408480).

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

1312140000 is a wasteful number, since it uses less digits than its factorization.

1312140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1312140000 is about 36223.4730527044. The cubic root of 1312140000 is about 1094.7796725237.

Adding to 1312140000 its reverse (412131), we get a palindrome (1312552131).

The spelling of 1312140000 in words is "one billion, three hundred twelve million, one hundred forty thousand".