1002216743200 has 72 divisors (see below), whose sum is σ = 2455757548020. Its totient is φ = 399396326400.

The previous prime is 1002216743197. The next prime is 1002216743219. The reversal of 1002216743200 is 23476122001.

It can be written as a sum of positive squares in 6 ways, for example, as 166813431184 + 835403312016 = 408428^2 + 914004^2 .

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 11 ways as a sum of consecutive naturals, for example, 2113371 + ... + 2543770.

Almost surely, 2^{1002216743200} is an apocalyptic number.

1002216743200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002216743200 is an abundant number, since it is smaller than the sum of its proper divisors (1453540804820).

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

1002216743200 is a wasteful number, since it uses less digits than its factorization.

1002216743200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4657430 (or 4657417 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 1002216743200 in words is "one trillion, two billion, two hundred sixteen million, seven hundred forty-three thousand, two hundred".