126651120 has 160 divisors (see below), whose sum is σ = 419973120. Its totient is φ = 31503360.

The previous prime is 126651113. The next prime is 126651121. The reversal of 126651120 is 21156621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126651121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 215467 + ... + 216053.

It is an arithmetic number, because the mean of its divisors is an integer number (2624832).

Almost surely, 2^126651120 is an apocalyptic number.

126651120 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 126651120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

126651120 is an abundant number, since it is smaller than the sum of its proper divisors (293322000).

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

126651120 is a wasteful number, since it uses less digits than its factorization.

126651120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 126651120 is about 11253.9379774371. The cubic root of 126651120 is about 502.1918706985.

The spelling of 126651120 in words is "one hundred twenty-six million, six hundred fifty-one thousand, one hundred twenty".