12063749040 has 640 divisors, whose sum is σ = 51068160000. Its totient is φ = 2609252352.

The previous prime is 12063749023. The next prime is 12063749081. The reversal of 12063749040 is 4094736021.

12063749040 is a `hidden beast` number, since 12 + 0 + 637 + 4 + 9 + 0 + 4 + 0 = 666.

12063749040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12063748986 and 12063749004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14076292 + ... + 14077148.

It is an arithmetic number, because the mean of its divisors is an integer number (79794000).

Almost surely, 2^12063749040 is an apocalyptic number.

12063749040 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 12063749040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25534080000).

12063749040 is an abundant number, since it is smaller than the sum of its proper divisors (39004410960).

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

12063749040 is a wasteful number, since it uses less digits than its factorization.

12063749040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12063749040 in words is "twelve billion, sixty-three million, seven hundred forty-nine thousand, forty".