1182141216 has 120 divisors (see below), whose sum is σ = 3503073420. Its totient is φ = 391053312.

The previous prime is 1182141193. The next prime is 1182141241. The reversal of 1182141216 is 6121412811.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1181984400 + 156816 = 34380^2 + 396^2 .

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 1182141216.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 353440 + ... + 356768.

Almost surely, 2^1182141216 is an apocalyptic number.

1182141216 is a gapful number since it is divisible by the number (16) 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 1182141216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751536710).

1182141216 is an abundant number, since it is smaller than the sum of its proper divisors (2320932204).

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

1182141216 is a wasteful number, since it uses less digits than its factorization.

1182141216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3471 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 1182141216 is about 34382.2805526335. The cubic root of 1182141216 is about 1057.3605912500.

The spelling of 1182141216 in words is "one billion, one hundred eighty-two million, one hundred forty-one thousand, two hundred sixteen".