1291229736960 has 624 divisors, whose sum is σ = 4497590292480. Its totient is φ = 315408384000.

The previous prime is 1291229736959. The next prime is 1291229736967. The reversal of 1291229736960 is 696379221921.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 1291229736960.

It is not an unprimeable number, because it can be changed into a prime (1291229736967) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1121832385 + ... + 1121833535.

Almost surely, 2^{1291229736960} is an apocalyptic number.

1291229736960 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 1291229736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248795146240).

1291229736960 is an abundant number, since it is smaller than the sum of its proper divisors (3206360555520).

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

1291229736960 is a wasteful number, since it uses less digits than its factorization.

1291229736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The spelling of 1291229736960 in words is "one trillion, two hundred ninety-one billion, two hundred twenty-nine million, seven hundred thirty-six thousand, nine hundred sixty".