126221760 has 224 divisors, whose sum is σ = 509137920. Its totient is φ = 28836864.

The previous prime is 126221759. The next prime is 126221789. The reversal of 126221760 is 67122621.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59437 + ... + 61523.

Almost surely, 2^126221760 is an apocalyptic number.

126221760 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 126221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254568960).

126221760 is an abundant number, since it is smaller than the sum of its proper divisors (382916160).

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

126221760 is a wasteful number, since it uses less digits than its factorization.

126221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 126221760 is about 11234.8457933342. The cubic root of 126221760 is about 501.6237345972.

The spelling of 126221760 in words is "one hundred twenty-six million, two hundred twenty-one thousand, seven hundred sixty".