2412106272000 has 432 divisors, whose sum is σ = 8687017619280. Its totient is φ = 642668544000.

The previous prime is 2412106271989. The next prime is 2412106272001. The reversal of 2412106272000 is 2726012142.

2412106272000 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 10 + 627 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1459186689024 + 952919582976 = 1207968^2 + 976176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412106272001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411549070 + ... + 411554930.

Almost surely, 2^{2412106272000} is an apocalyptic number.

2412106272000 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 2412106272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343508809640).

2412106272000 is an abundant number, since it is smaller than the sum of its proper divisors (6274911347280).

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

2412106272000 is a wasteful number, since it uses less digits than its factorization.

2412106272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7327 (or 7300 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 2412106272000 in words is "two trillion, four hundred twelve billion, one hundred six million, two hundred seventy-two thousand".