126211680 has 288 divisors, whose sum is σ = 518918400. Its totient is φ = 27288576.

The previous prime is 126211663. The next prime is 126211693. The reversal of 126211680 is 86112621.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191191 + ... + 191849.

It is an arithmetic number, because the mean of its divisors is an integer number (1801800).

Almost surely, 2^126211680 is an apocalyptic number.

126211680 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 126211680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259459200).

126211680 is an abundant number, since it is smaller than the sum of its proper divisors (392706720).

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

126211680 is a wasteful number, since it uses less digits than its factorization.

126211680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 126211680 is about 11234.3971800894. The cubic root of 126211680 is about 501.6103811104.

The spelling of 126211680 in words is "one hundred twenty-six million, two hundred eleven thousand, six hundred eighty".