12014206812384 has 384 divisors, whose sum is σ = 39249007902720. Its totient is φ = 3140189337600.

The previous prime is 12014206812383. The next prime is 12014206812389. The reversal of 12014206812384 is 48321860241021.

It is a super-2 number, since 2×12014206812384² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12014206812383) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 182434567 + ... + 182500409.

It is an arithmetic number, because the mean of its divisors is an integer number (102210958080).

Almost surely, 2^{12014206812384} is an apocalyptic number.

12014206812384 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 12014206812384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19624503951360).

12014206812384 is an abundant number, since it is smaller than the sum of its proper divisors (27234801090336).

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

12014206812384 is a wasteful number, since it uses less digits than its factorization.

12014206812384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66374 (or 66366 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 12014206812384 in words is "twelve trillion, fourteen billion, two hundred six million, eight hundred twelve thousand, three hundred eighty-four".