1293912312 has 256 divisors, whose sum is σ = 4349030400. Its totient is φ = 310625280.

The previous prime is 1293912299. The next prime is 1293912359. The reversal of 1293912312 is 2132193921.

It is a super-2 number, since 2×1293912312² = 3348418142290370688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1509388 + ... + 1510244.

It is an arithmetic number, because the mean of its divisors is an integer number (16988400).

Almost surely, 2^1293912312 is an apocalyptic number.

1293912312 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 1293912312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174515200).

1293912312 is an abundant number, since it is smaller than the sum of its proper divisors (3055118088).

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

1293912312 is a wasteful number, since it uses less digits than its factorization.

1293912312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 942 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 1293912312 is about 35970.9926468537. The cubic root of 1293912312 is about 1089.6866119230.

It can be divided in two parts, 129391 and 2312, that multiplied together give a palindrome (299151992).

The spelling of 1293912312 in words is "one billion, two hundred ninety-three million, nine hundred twelve thousand, three hundred twelve".