12912141312 has 462 divisors, whose sum is σ = 45145672038. Its totient is φ = 3678732288.

The previous prime is 12912141299. The next prime is 12912141313. The reversal of 12912141312 is 21314121921.

12912141312 is a `hidden beast` number, since 1 + 291 + 21 + 41 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10571129856 + 2341011456 = 102816^2 + 48384^2 .

It is a super-2 number, since 2×12912141312² (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12912141313) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 36578128 + ... + 36578480.

Almost surely, 2^12912141312 is an apocalyptic number.

12912141312 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 12912141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22572836019).

12912141312 is an abundant number, since it is smaller than the sum of its proper divisors (32233530726).

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

12912141312 is an frugal number, since it uses more digits than its factorization.

12912141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 365 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The spelling of 12912141312 in words is "twelve billion, nine hundred twelve million, one hundred forty-one thousand, three hundred twelve".