12012414041000 has 128 divisors (see below), whose sum is σ = 28664756789760. Its totient is φ = 4710761280000.

The previous prime is 12012414040973. The next prime is 12012414041011. The reversal of 12012414041000 is 14041421021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11698325 + ... + 12683675.

It is an arithmetic number, because the mean of its divisors is an integer number (223943412420).

Almost surely, 2^{12012414041000} is an apocalyptic number.

12012414041000 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 12012414041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14332378394880).

12012414041000 is an abundant number, since it is smaller than the sum of its proper divisors (16652342748760).

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

12012414041000 is a wasteful number, since it uses less digits than its factorization.

12012414041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985612 (or 985598 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12012414041000 its reverse (14041421021), we get a palindrome (12026455462021).

The spelling of 12012414041000 in words is "twelve trillion, twelve billion, four hundred fourteen million, forty-one thousand".