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12016290384 = 2434721923433

12016290384 has 600 divisors, whose sum is σ = 44540274240. Its totient is φ = 3103930368.

The previous prime is 12016290383. The next prime is 12016290397. The reversal of 12016290384 is 48309261021.

12016290384 is a `hidden beast` number, since 1 + 20 + 1 + 629 + 0 + 3 + 8 + 4 = 666.

It is a super-2 number, since 2×120162903842 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12016290383) 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 119 ways as a sum of consecutive naturals, for example, 27751032 + ... + 27751464.

Almost surely, 212016290384 is an apocalyptic number.

12016290384 is a gapful number since it is divisible by the number (14) 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 12016290384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22270137120).

12016290384 is an abundant number, since it is smaller than the sum of its proper divisors (32523983856).

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

12016290384 is a wasteful number, since it uses less digits than its factorization.

12016290384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12016290384 in words is "twelve billion, sixteen million, two hundred ninety thousand, three hundred eighty-four".