1213134312 has 64 divisors (see below), whose sum is σ = 3272976000. Its totient is φ = 372489984.

The previous prime is 1213134311. The next prime is 1213134313. The reversal of 1213134312 is 2134313121.

1213134312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1213134311) and next prime (1213134313).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1213134311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154989 + ... + 162627.

It is an arithmetic number, because the mean of its divisors is an integer number (51140250).

Almost surely, 2^1213134312 is an apocalyptic number.

1213134312 is a gapful number since it is divisible by the number (12) 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 1213134312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636488000).

1213134312 is an abundant number, since it is smaller than the sum of its proper divisors (2059841688).

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

1213134312 is a wasteful number, since it uses less digits than its factorization.

1213134312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8170 (or 8166 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 1213134312 is about 34830.0776915585. The cubic root of 1213134312 is about 1066.5215343338.

Adding to 1213134312 its reverse (2134313121), we get a palindrome (3347447433).

The spelling of 1213134312 in words is "one billion, two hundred thirteen million, one hundred thirty-four thousand, three hundred twelve".