1293731712 has 576 divisors, whose sum is σ = 4888643760. Its totient is φ = 325140480.

The previous prime is 1293731701. The next prime is 1293731723. The reversal of 1293731712 is 2171373921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1293731701) and next prime (1293731723).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30086763 + ... + 30086805.

Almost surely, 2^1293731712 is an apocalyptic number.

1293731712 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 1293731712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444321880).

1293731712 is an abundant number, since it is smaller than the sum of its proper divisors (3594912048).

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

1293731712 is a wasteful number, since it uses less digits than its factorization.

1293731712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 109 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 1293731712 is about 35968.4822031734. The cubic root of 1293731712 is about 1089.6359112799.

The spelling of 1293731712 in words is "one billion, two hundred ninety-three million, seven hundred thirty-one thousand, seven hundred twelve".