2166210126612 has 144 divisors (see below), whose sum is σ = 6411878928000. Its totient is φ = 603698641920.

The previous prime is 2166210126611. The next prime is 2166210126623.

2166210126612 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 2 + 10 + 1 + 26 + 612 = 666.

2166210126612 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166210126611) 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, 58450264 + ... + 58487312.

It is an arithmetic number, because the mean of its divisors is an integer number (44526937000).

Almost surely, 2^{2166210126612} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166210126612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205939464000).

2166210126612 is an abundant number, since it is smaller than the sum of its proper divisors (4245668801388).

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

2166210126612 is a wasteful number, since it uses less digits than its factorization.

2166210126612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42766 (or 42761 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 2166210126612 in words is "two trillion, one hundred sixty-six billion, two hundred ten million, one hundred twenty-six thousand, six hundred twelve".