1291974720 has 112 divisors (see below), whose sum is σ = 4118091840. Its totient is φ = 343177216.

The previous prime is 1291974713. The next prime is 1291974727. The reversal of 1291974720 is 274791921.

It is an interprime number because it is at equal distance from previous prime (1291974713) and next prime (1291974727).

It is not an unprimeable number, because it can be changed into a prime (1291974727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255739 + ... + 260741.

Almost surely, 2^1291974720 is an apocalyptic number.

1291974720 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 1291974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059045920).

1291974720 is an abundant number, since it is smaller than the sum of its proper divisors (2826117120).

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

1291974720 is a wasteful number, since it uses less digits than its factorization.

1291974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292 (or 5282 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 1291974720 is about 35944.0498552959. The cubic root of 1291974720 is about 1089.1424166630.

The spelling of 1291974720 in words is "one billion, two hundred ninety-one million, nine hundred seventy-four thousand, seven hundred twenty".