126228480 has 192 divisors, whose sum is σ = 462309120. Its totient is φ = 28803072.

The previous prime is 126228467. The next prime is 126228493. The reversal of 126228480 is 84822621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (126228467) and next prime (126228493).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×126228480³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 2.

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, 214747 + ... + 215333.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 2^126228480 is an apocalyptic number.

126228480 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 126228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

126228480 is an abundant number, since it is smaller than the sum of its proper divisors (336080640).

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

126228480 is an equidigital number, since it uses as much as digits as its factorization.

126228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 126228480 is about 11235.1448588792. The cubic root of 126228480 is about 501.6326365269.

The spelling of 126228480 in words is "one hundred twenty-six million, two hundred twenty-eight thousand, four hundred eighty".