126119680 has 72 divisors (see below), whose sum is σ = 310377312. Its totient is φ = 49065984.

The previous prime is 126119621. The next prime is 126119681. The reversal of 126119680 is 86911621.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126119681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46029 + ... + 48691.

It is an arithmetic number, because the mean of its divisors is an integer number (4310796).

Almost surely, 2^126119680 is an apocalyptic number.

126119680 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 126119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155188656).

126119680 is an abundant number, since it is smaller than the sum of its proper divisors (184257632).

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

126119680 is an equidigital number, since it uses as much as digits as its factorization.

126119680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 126119680 is about 11230.3018659340. The cubic root of 126119680 is about 501.4884711767.

The spelling of 126119680 in words is "one hundred twenty-six million, one hundred nineteen thousand, six hundred eighty".