126223413033000 has 256 divisors, whose sum is σ = 417146263372800. Its totient is φ = 31667179622400.

The previous prime is 126223413032963. The next prime is 126223413033043. The reversal of 126223413033000 is 330314322621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129923041 + ... + 130890959.

It is an arithmetic number, because the mean of its divisors is an integer number (1629477591300).

Almost surely, 2^{126223413033000} is an apocalyptic number.

126223413033000 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 126223413033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208573131686400).

126223413033000 is an abundant number, since it is smaller than the sum of its proper divisors (290922850339800).

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

126223413033000 is a wasteful number, since it uses less digits than its factorization.

126223413033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970517 (or 970503 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 126223413033000 its reverse (330314322621), we get a palindrome (126553727355621).

The spelling of 126223413033000 in words is "one hundred twenty-six trillion, two hundred twenty-three billion, four hundred thirteen million, thirty-three thousand".