126747120 has 80 divisors (see below), whose sum is σ = 394260480. Its totient is φ = 33683712.

The previous prime is 126747097. The next prime is 126747133. The reversal of 126747120 is 21747621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87361 + ... + 88799.

It is an arithmetic number, because the mean of its divisors is an integer number (4928256).

Almost surely, 2^126747120 is an apocalyptic number.

126747120 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 126747120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197130240).

126747120 is an abundant number, since it is smaller than the sum of its proper divisors (267513360).

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

126747120 is a wasteful number, since it uses less digits than its factorization.

126747120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 126747120 is about 11258.2023431807. The cubic root of 126747120 is about 502.3187237516.

The spelling of 126747120 in words is "one hundred twenty-six million, seven hundred forty-seven thousand, one hundred twenty".