41223001302000 has 1600 divisors, whose sum is σ = 171738698376960. Its totient is φ = 9336176640000.

The previous prime is 41223001301947. The next prime is 41223001302001. The reversal of 41223001302000 is 20310032214.

41223001302000 is a `hidden beast` number, since 41 + 22 + 300 + 1 + 302 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41223001302001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 102800501800 + ... + 102800502200.

Almost surely, 2^{41223001302000} is an apocalyptic number.

41223001302000 is a gapful number since it is divisible by the number (40) 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 41223001302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85869349188480).

41223001302000 is an abundant number, since it is smaller than the sum of its proper divisors (130515697074960).

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

41223001302000 is a wasteful number, since it uses less digits than its factorization.

41223001302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 41223001302000 its reverse (20310032214), we get a palindrome (41243311334214).

The spelling of 41223001302000 in words is "forty-one trillion, two hundred twenty-three billion, one million, three hundred two thousand".