12016063355400 has 432 divisors, whose sum is σ = 46267300963260. Its totient is φ = 2783810764800.

The previous prime is 12016063355381. The next prime is 12016063355437. The reversal of 12016063355400 is 455336061021.

12016063355400 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 606 + 3 + 3 + 5 + 5 + 40 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 570819536676 + 11445243818724 = 755526^2 + 3383082^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4009620 + ... + 6333180.

Almost surely, 2^{12016063355400} is an apocalyptic number.

12016063355400 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 12016063355400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23133650481630).

12016063355400 is an abundant number, since it is smaller than the sum of its proper divisors (34251237607860).

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

12016063355400 is a wasteful number, since it uses less digits than its factorization.

12016063355400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323626 (or 2323601 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 12016063355400 in words is "twelve trillion, sixteen billion, sixty-three million, three hundred fifty-five thousand, four hundred".