126223537748000 has 768 divisors, whose sum is σ = 410214694256640. Its totient is φ = 36978052608000.

The previous prime is 126223537747997. The next prime is 126223537748083. The reversal of 126223537748000 is 847735322621.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 126223537748000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 743119082 + ... + 743288918.

It is an arithmetic number, because the mean of its divisors is an integer number (534133716480).

Almost surely, 2^{126223537748000} is an apocalyptic number.

126223537748000 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 126223537748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205107347128320).

126223537748000 is an abundant number, since it is smaller than the sum of its proper divisors (283991156508640).

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

126223537748000 is a wasteful number, since it uses less digits than its factorization.

126223537748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170026 (or 170008 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 50.

The spelling of 126223537748000 in words is "one hundred twenty-six trillion, two hundred twenty-three billion, five hundred thirty-seven million, seven hundred forty-eight thousand".