12016252331460 has 288 divisors, whose sum is σ = 39708019260000. Its totient is φ = 2923589763072.

The previous prime is 12016252331431. The next prime is 12016252331471. The reversal of 12016252331460 is 6413325261021.

12016252331460 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 62 + 523 + 3 + 14 + 60 = 666.

12016252331460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 9574333554564 + 2441918776896 = 3094242^2 + 1562664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 718280376 + ... + 718297104.

It is an arithmetic number, because the mean of its divisors is an integer number (137875066875).

Almost surely, 2^{12016252331460} is an apocalyptic number.

12016252331460 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 12016252331460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19854009630000).

12016252331460 is an abundant number, since it is smaller than the sum of its proper divisors (27691766928540).

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

12016252331460 is a wasteful number, since it uses less digits than its factorization.

12016252331460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20295 (or 20290 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 12016252331460 its reverse (6413325261021), we get a palindrome (18429577592481).

The spelling of 12016252331460 in words is "twelve trillion, sixteen billion, two hundred fifty-two million, three hundred thirty-one thousand, four hundred sixty".