1296345600000 has 1872 divisors, whose sum is σ = 5446666391040. Its totient is φ = 304128000000.

The previous prime is 1296345599987. The next prime is 1296345600023. The reversal of 1296345600000 is 65436921.

It is a happy number.

1296345600000 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 3 + 45 + 600 + 0 + 0 + 0 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 41817599985 + ... + 41817600015.

Almost surely, 2^{1296345600000} is an apocalyptic number.

1296345600000 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 1296345600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723333195520).

1296345600000 is an abundant number, since it is smaller than the sum of its proper divisors (4150320791040).

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

1296345600000 is an frugal number, since it uses more digits than its factorization.

1296345600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1296345600000 in words is "one trillion, two hundred ninety-six billion, three hundred forty-five million, six hundred thousand".