1012840243200 has 336 divisors, whose sum is σ = 3721043266560. Its totient is φ = 270089256960.

The previous prime is 1012840243133. The next prime is 1012840243249. The reversal of 1012840243200 is 23420482101.

1012840243200 is a `hidden beast` number, since 1 + 0 + 12 + 8 + 402 + 43 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5438017 + ... + 5621183.

Almost surely, 2^{1012840243200} is an apocalyptic number.

1012840243200 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 1012840243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860521633280).

1012840243200 is an abundant number, since it is smaller than the sum of its proper divisors (2708203023360).

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

1012840243200 is an equidigital number, since it uses as much as digits as its factorization.

1012840243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183212 (or 183177 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 1012840243200 in words is "one trillion, twelve billion, eight hundred forty million, two hundred forty-three thousand, two hundred".