8126034312000 has 448 divisors, whose sum is σ = 29290353700608. Its totient is φ = 1968675840000.

The previous prime is 8126034311987. The next prime is 8126034312041. The reversal of 8126034312000 is 2134306218.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 446942910 + ... + 446961090.

It is an arithmetic number, because the mean of its divisors is an integer number (65380253796).

Almost surely, 2^{8126034312000} is an apocalyptic number.

8126034312000 is a gapful number since it is divisible by the number (80) 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 8126034312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14645176850304).

8126034312000 is an abundant number, since it is smaller than the sum of its proper divisors (21164319388608).

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

8126034312000 is a wasteful number, since it uses less digits than its factorization.

8126034312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19915 (or 19895 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 8126034312000 its reverse (2134306218), we get a palindrome (8128168618218).

The spelling of 8126034312000 in words is "eight trillion, one hundred twenty-six billion, thirty-four million, three hundred twelve thousand".