126033320 has 128 divisors (see below), whose sum is σ = 338549760. Its totient is φ = 41333760.

The previous prime is 126033319. The next prime is 126033329. The reversal of 126033320 is 23330621.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 126033292 and 126033301.

It is not an unprimeable number, because it can be changed into a prime (126033329) 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, 802682 + ... + 802838.

It is an arithmetic number, because the mean of its divisors is an integer number (2644920).

Almost surely, 2^126033320 is an apocalyptic number.

126033320 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 126033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169274880).

126033320 is an abundant number, since it is smaller than the sum of its proper divisors (212516440).

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

126033320 is a wasteful number, since it uses less digits than its factorization.

126033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 126033320 is about 11226.4562529767. The cubic root of 126033320 is about 501.3739808946.

Adding to 126033320 its reverse (23330621), we get a palindrome (149363941).

The spelling of 126033320 in words is "one hundred twenty-six million, thirty-three thousand, three hundred twenty".