126056245304220 has 576 divisors, whose sum is σ = 455657814097920. Its totient is φ = 25740662438400.

The previous prime is 126056245304219. The next prime is 126056245304273. The reversal of 126056245304220 is 22403542650621.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6500750725 + ... + 6500770115.

It is an arithmetic number, because the mean of its divisors is an integer number (791072593920).

Almost surely, 2^{126056245304220} is an apocalyptic number.

126056245304220 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 126056245304220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227828907048960).

126056245304220 is an abundant number, since it is smaller than the sum of its proper divisors (329601568793700).

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

126056245304220 is a wasteful number, since it uses less digits than its factorization.

126056245304220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22894 (or 22885 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 126056245304220 its reverse (22403542650621), we get a palindrome (148459787954841).

The spelling of 126056245304220 in words is "one hundred twenty-six trillion, fifty-six billion, two hundred forty-five million, three hundred four thousand, two hundred twenty".