1312292045880 has 192 divisors, whose sum is σ = 4458259353600. Its totient is φ = 334369002240.

The previous prime is 1312292045879. The next prime is 1312292045917. The reversal of 1312292045880 is 885402922131.

1312292045880 is a `hidden beast` number, since 1 + 31 + 2 + 2 + 92 + 0 + 458 + 80 = 666.

It is a super-2 number, since 2×1312292045880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137407 + ... + 1625873.

It is an arithmetic number, because the mean of its divisors is an integer number (23220100800).

Almost surely, 2^{1312292045880} is an apocalyptic number.

1312292045880 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 1312292045880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229129676800).

1312292045880 is an abundant number, since it is smaller than the sum of its proper divisors (3145967307720).

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

1312292045880 is a wasteful number, since it uses less digits than its factorization.

1312292045880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488594 (or 1488587 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1312292045880 in words is "one trillion, three hundred twelve billion, two hundred ninety-two million, forty-five thousand, eight hundred eighty".