126267120 has 240 divisors, whose sum is σ = 506351520. Its totient is φ = 28836864.

The previous prime is 126267107. The next prime is 126267149. The reversal of 126267120 is 21762621.

126267120 is a `hidden beast` number, since 12 + 626 + 7 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105244 + ... + 106436.

It is an arithmetic number, because the mean of its divisors is an integer number (2109798).

Almost surely, 2^126267120 is an apocalyptic number.

126267120 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 126267120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253175760).

126267120 is an abundant number, since it is smaller than the sum of its proper divisors (380084400).

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

126267120 is a wasteful number, since it uses less digits than its factorization.

126267120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 126267120 is about 11236.8643312981. The cubic root of 126267120 is about 501.6838164920.

The spelling of 126267120 in words is "one hundred twenty-six million, two hundred sixty-seven thousand, one hundred twenty".