126351120 has 80 divisors (see below), whose sum is σ = 447649920. Its totient is φ = 28879872.

The previous prime is 126351109. The next prime is 126351161. The reversal of 126351120 is 21153621.

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 (21).

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, 35925 + ... + 39284.

It is an arithmetic number, because the mean of its divisors is an integer number (5595624).

Almost surely, 2^126351120 is an apocalyptic number.

126351120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126351120 is an abundant number, since it is smaller than the sum of its proper divisors (321298800).

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

126351120 is a wasteful number, since it uses less digits than its factorization.

126351120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75232 (or 75226 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 126351120 is about 11240.6014073981. The cubic root of 126351120 is about 501.7950412751.

The spelling of 126351120 in words is "one hundred twenty-six million, three hundred fifty-one thousand, one hundred twenty".