12126747657700 has 108 divisors (see below), whose sum is σ = 28505962681308. Its totient is φ = 4475843673600.

The previous prime is 12126747657677. The next prime is 12126747657701. The reversal of 12126747657700 is 775674762121.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 10948011853284 + 1178735804416 = 3308778^2 + 1085696^2 .

It is not an unprimeable number, because it can be changed into a prime (12126747657701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44158014 + ... + 44431786.

It is an arithmetic number, because the mean of its divisors is an integer number (263944098901).

Almost surely, 2^{12126747657700} is an apocalyptic number.

12126747657700 is a gapful number since it is divisible by the number (10) 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 12126747657700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14252981340654).

12126747657700 is an abundant number, since it is smaller than the sum of its proper divisors (16379215023608).

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

12126747657700 is a wasteful number, since it uses less digits than its factorization.

12126747657700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276434 (or 276414 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 55.

The spelling of 12126747657700 in words is "twelve trillion, one hundred twenty-six billion, seven hundred forty-seven million, six hundred fifty-seven thousand, seven hundred".