2412126000 has 320 divisors, whose sum is σ = 9099417600. Its totient is φ = 609120000.

The previous prime is 2412125999. The next prime is 2412126007. The reversal of 2412126000 is 6212142.

2412126000 is a `hidden beast` number, since 2 + 41 + 21 + 2 + 600 + 0 = 666.

2412126000 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412126007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1024825 + ... + 1027175.

It is an arithmetic number, because the mean of its divisors is an integer number (28435680).

Almost surely, 2^2412126000 is an apocalyptic number.

2412126000 is a gapful number since it is divisible by the number (20) 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 2412126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549708800).

2412126000 is an abundant number, since it is smaller than the sum of its proper divisors (6687291600).

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

2412126000 is a wasteful number, since it uses less digits than its factorization.

2412126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2380 counting only the distinct ones).

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

The square root of 2412126000 is about 49113.3993936482. The cubic root of 2412126000 is about 1341.1169865259.

Adding to 2412126000 its reverse (6212142), we get a palindrome (2418338142).

The spelling of 2412126000 in words is "two billion, four hundred twelve million, one hundred twenty-six thousand".