126226720 has 48 divisors (see below), whose sum is σ = 299223288. Its totient is φ = 50319360.

The previous prime is 126226679. The next prime is 126226729. The reversal of 126226720 is 27622621.

It can be written as a sum of positive squares in 4 ways, for example, as 96589584 + 29637136 = 9828^2 + 5444^2 .

It is not an unprimeable number, because it can be changed into a prime (126226729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52750 + ... + 55090.

Almost surely, 2^126226720 is an apocalyptic number.

126226720 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 126226720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149611644).

126226720 is an abundant number, since it is smaller than the sum of its proper divisors (172996568).

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

126226720 is a wasteful number, since it uses less digits than its factorization.

126226720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 126226720 is about 11235.0665329583. The cubic root of 126226720 is about 501.6303050997.

The spelling of 126226720 in words is "one hundred twenty-six million, two hundred twenty-six thousand, seven hundred twenty".