126288227520 has 1008 divisors, whose sum is σ = 555994141248. Its totient is φ = 26605117440.

The previous prime is 126288227509. The next prime is 126288227551. The reversal of 126288227520 is 25722882621.

126288227520 is a `hidden beast` number, since 1 + 2 + 6 + 28 + 82 + 27 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 191055990 + ... + 191056650.

Almost surely, 2^126288227520 is an apocalyptic number.

126288227520 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 126288227520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277997070624).

126288227520 is an abundant number, since it is smaller than the sum of its proper divisors (429705913728).

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

126288227520 is an frugal number, since it uses more digits than its factorization.

126288227520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 126288227520 in words is "one hundred twenty-six billion, two hundred eighty-eight million, two hundred twenty-seven thousand, five hundred twenty".