1297161216000 has 1344 divisors, whose sum is σ = 5235684906816. Its totient is φ = 318504960000.

The previous prime is 1297161215957. The next prime is 1297161216011. The reversal of 1297161216000 is 6121617921.

1297161216000 is a `hidden beast` number, since 1 + 29 + 7 + 1 + 6 + 1 + 21 + 600 + 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 95 ways as a sum of consecutive naturals, for example, 3234815800 + ... + 3234816200.

It is an arithmetic number, because the mean of its divisors is an integer number (3895598889).

Almost surely, 2^{1297161216000} is an apocalyptic number.

1297161216000 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 1297161216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617842453408).

1297161216000 is an abundant number, since it is smaller than the sum of its proper divisors (3938523690816).

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

1297161216000 is an frugal number, since it uses more digits than its factorization.

1297161216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 1297161216000 in words is "one trillion, two hundred ninety-seven billion, one hundred sixty-one million, two hundred sixteen thousand".