1216198872 has 96 divisors (see below), whose sum is σ = 3774950400. Its totient is φ = 346514112.

The previous prime is 1216198871. The next prime is 1216198889. The reversal of 1216198872 is 2788916121.

1216198872 is a `hidden beast` number, since 1 + 21 + 619 + 8 + 8 + 7 + 2 = 666.

1216198872 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216198871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187833 + ... + 194199.

It is an arithmetic number, because the mean of its divisors is an integer number (39322400).

Almost surely, 2^1216198872 is an apocalyptic number.

1216198872 is a gapful number since it is divisible by the number (12) 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 1216198872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887475200).

1216198872 is an abundant number, since it is smaller than the sum of its proper divisors (2558751528).

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

1216198872 is a wasteful number, since it uses less digits than its factorization.

1216198872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6765 (or 6758 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 1216198872 is about 34874.0429546102. The cubic root of 1216198872 is about 1067.4188438578.

The spelling of 1216198872 in words is "one billion, two hundred sixteen million, one hundred ninety-eight thousand, eight hundred seventy-two".