126235120 has 80 divisors (see below), whose sum is σ = 328916448. Its totient is φ = 44651520.

The previous prime is 126235111. The next prime is 126235129. The reversal of 126235120 is 21532621.

It is an interprime number because it is at equal distance from previous prime (126235111) and next prime (126235129).

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 (22).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 126235091 and 126235100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126235129) 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 15 ways as a sum of consecutive naturals, for example, 30622 + ... + 34498.

Almost surely, 2^126235120 is an apocalyptic number.

126235120 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 126235120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164458224).

126235120 is an abundant number, since it is smaller than the sum of its proper divisors (202681328).

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

126235120 is a wasteful number, since it uses less digits than its factorization.

126235120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 126235120 is about 11235.4403563011. The cubic root of 126235120 is about 501.6414321708.

Adding to 126235120 its reverse (21532621), we get a palindrome (147767741).

The spelling of 126235120 in words is "one hundred twenty-six million, two hundred thirty-five thousand, one hundred twenty".