126223680 has 112 divisors (see below), whose sum is σ = 437229504. Its totient is φ = 30597120.

The previous prime is 126223667. The next prime is 126223693. The reversal of 126223680 is 86322621.

It is an interprime number because it is at equal distance from previous prime (126223667) and next prime (126223693).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 4584 + ... + 16536.

Almost surely, 2^126223680 is an apocalyptic number.

126223680 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 126223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218614752).

126223680 is an abundant number, since it is smaller than the sum of its proper divisors (311005824).

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

126223680 is a wasteful number, since it uses less digits than its factorization.

126223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11984 (or 11974 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 126223680 is about 11234.9312414451. The cubic root of 126223680 is about 501.6262780380.

It can be divided in two parts, 1262 and 23680, that added together give a palindrome (24942).

The spelling of 126223680 in words is "one hundred twenty-six million, two hundred twenty-three thousand, six hundred eighty".