1216264616200 has 96 divisors (see below), whose sum is σ = 2884865301000. Its totient is φ = 476750131200.

The previous prime is 1216264616197. The next prime is 1216264616201. The reversal of 1216264616200 is 26164626121.

It can be written as a sum of positive squares in 12 ways, for example, as 10164269124 + 1206100347076 = 100818^2 + 1098226^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1216264616200.

It is not an unprimeable number, because it can be changed into a prime (1216264616201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3096496 + ... + 3467104.

Almost surely, 2^{1216264616200} is an apocalyptic number.

1216264616200 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 1216264616200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442432650500).

1216264616200 is an abundant number, since it is smaller than the sum of its proper divisors (1668600684800).

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

1216264616200 is a wasteful number, since it uses less digits than its factorization.

1216264616200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370955 (or 370946 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 1216264616200 in words is "one trillion, two hundred sixteen billion, two hundred sixty-four million, six hundred sixteen thousand, two hundred".