12146039040 has 144 divisors (see below), whose sum is σ = 38889144000. Its totient is φ = 3230785536.

The previous prime is 12146039039. The next prime is 12146039063. The reversal of 12146039040 is 4093064121.

12146039040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12146039040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12146038989 and 12146039007.

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 15 ways as a sum of consecutive naturals, for example, 1605186 + ... + 1612734.

It is an arithmetic number, because the mean of its divisors is an integer number (270063500).

Almost surely, 2^12146039040 is an apocalyptic number.

12146039040 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 12146039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19444572000).

12146039040 is an abundant number, since it is smaller than the sum of its proper divisors (26743104960).

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

12146039040 is an equidigital number, since it uses as much as digits as its factorization.

12146039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7992 (or 7978 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 12146039040 in words is "twelve billion, one hundred forty-six million, thirty-nine thousand, forty".