12042346140 has 288 divisors, whose sum is σ = 41805953280. Its totient is φ = 2885414400.

The previous prime is 12042346133. The next prime is 12042346153. The reversal of 12042346140 is 4164324021.

It is a happy number.

12042346140 is a `hidden beast` number, since 1 + 2 + 0 + 42 + 3 + 4 + 614 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4756675 + ... + 4759205.

It is an arithmetic number, because the mean of its divisors is an integer number (145159560).

Almost surely, 2^12042346140 is an apocalyptic number.

12042346140 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 12042346140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20902976640).

12042346140 is an abundant number, since it is smaller than the sum of its proper divisors (29763607140).

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

12042346140 is a wasteful number, since it uses less digits than its factorization.

12042346140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 12042346140 in words is "twelve billion, forty-two million, three hundred forty-six thousand, one hundred forty".