12123041040 has 640 divisors, whose sum is σ = 47768371200. Its totient is φ = 2799360000.

The previous prime is 12123041039. The next prime is 12123041053. The reversal of 12123041040 is 4014032121.

12123041040 is a `hidden beast` number, since 1 + 21 + 230 + 410 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80284965 + ... + 80285115.

It is an arithmetic number, because the mean of its divisors is an integer number (74638080).

Almost surely, 2^12123041040 is an apocalyptic number.

12123041040 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 12123041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23884185600).

12123041040 is an abundant number, since it is smaller than the sum of its proper divisors (35645330160).

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

12123041040 is a wasteful number, since it uses less digits than its factorization.

12123041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12123041040 its reverse (4014032121), we get a palindrome (16137073161).

The spelling of 12123041040 in words is "twelve billion, one hundred twenty-three million, forty-one thousand, forty".