6212316132126 has 144 divisors (see below), whose sum is σ = 15366109449600. Its totient is φ = 1808050465728.

The previous prime is 6212316132089. The next prime is 6212316132133.

6212316132126 is a `hidden beast` number, since 6 + 2 + 1 + 2 + 31 + 613 + 2 + 1 + 2 + 6 = 666.

6212316132126 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37080535 + ... + 37247693.

It is an arithmetic number, because the mean of its divisors is an integer number (106709093400).

Almost surely, 2^{6212316132126} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6212316132126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683054724800).

6212316132126 is an abundant number, since it is smaller than the sum of its proper divisors (9153793317474).

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

6212316132126 is a wasteful number, since it uses less digits than its factorization.

6212316132126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167855 (or 167839 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 6212316132126 in words is "six trillion, two hundred twelve billion, three hundred sixteen million, one hundred thirty-two thousand, one hundred twenty-six".