2007126240000 has 1440 divisors, whose sum is σ = 7938398899200. Its totient is φ = 449777664000.

The previous prime is 2007126239977. The next prime is 2007126240001. The reversal of 2007126240000 is 426217002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2007126240001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12018719917 + ... + 12018720083.

Almost surely, 2^{2007126240000} is an apocalyptic number.

2007126240000 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 2007126240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969199449600).

2007126240000 is an abundant number, since it is smaller than the sum of its proper divisors (5931272659200).

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

2007126240000 is an frugal number, since it uses more digits than its factorization.

2007126240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 2007126240000 in words is "two trillion, seven billion, one hundred twenty-six million, two hundred forty thousand".