1246114060800 has 960 divisors, whose sum is σ = 4932208723200. Its totient is φ = 277019688960.

The previous prime is 1246114060747. The next prime is 1246114060801. The reversal of 1246114060800 is 80604116421.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (1246114060801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 487333122 + ... + 487335678.

It is an arithmetic number, because the mean of its divisors is an integer number (5137717420).

Almost surely, 2^{1246114060800} is an apocalyptic number.

1246114060800 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 1246114060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466104361600).

1246114060800 is an abundant number, since it is smaller than the sum of its proper divisors (3686094662400).

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

1246114060800 is an equidigital number, since it uses as much as digits as its factorization.

1246114060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 1246114060800 in words is "one trillion, two hundred forty-six billion, one hundred fourteen million, sixty thousand, eight hundred".