1296261120 has 448 divisors, whose sum is σ = 5209007616. Its totient is φ = 267386880.

The previous prime is 1296261107. The next prime is 1296261133. The reversal of 1296261120 is 211626921.

It is an interprime number because it is at equal distance from previous prime (1296261107) and next prime (1296261133).

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9461692 + ... + 9461828.

Almost surely, 2^1296261120 is an apocalyptic number.

1296261120 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 1296261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604503808).

1296261120 is an abundant number, since it is smaller than the sum of its proper divisors (3912746496).

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

1296261120 is a wasteful number, since it uses less digits than its factorization.

1296261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1296261120 is about 36003.6264840085. The cubic root of 1296261120 is about 1090.3455740119.

The spelling of 1296261120 in words is "one billion, two hundred ninety-six million, two hundred sixty-one thousand, one hundred twenty".