12015034416 has 360 divisors, whose sum is σ = 42900272064. Its totient is φ = 3104075520.

The previous prime is 12015034391. The next prime is 12015034417. The reversal of 12015034416 is 61443051021.

It is a happy number.

It is a super-2 number, since 2×12015034416² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12015034416.

It is not an unprimeable number, because it can be changed into a prime (12015034417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21965055 + ... + 21965601.

Almost surely, 2^12015034416 is an apocalyptic number.

12015034416 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 12015034416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21450136032).

12015034416 is an abundant number, since it is smaller than the sum of its proper divisors (30885237648).

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

12015034416 is a wasteful number, since it uses less digits than its factorization.

12015034416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12015034416 its reverse (61443051021), we get a palindrome (73458085437).

The spelling of 12015034416 in words is "twelve billion, fifteen million, thirty-four thousand, four hundred sixteen".