11512412016 has 240 divisors, whose sum is σ = 35826278400. Its totient is φ = 3174183936.

The previous prime is 11512412003. The next prime is 11512412047. The reversal of 11512412016 is 61021421511.

It is a super-2 number, since 2×11512412016² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9000465 + ... + 9001743.

It is an arithmetic number, because the mean of its divisors is an integer number (149276160).

Almost surely, 2^11512412016 is an apocalyptic number.

11512412016 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 11512412016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17913139200).

11512412016 is an abundant number, since it is smaller than the sum of its proper divisors (24313866384).

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

11512412016 is a wasteful number, since it uses less digits than its factorization.

11512412016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 11512412016 its reverse (61021421511), we get a palindrome (72533833527).

The spelling of 11512412016 in words is "eleven billion, five hundred twelve million, four hundred twelve thousand, sixteen".