41122037123200 has 768 divisors, whose sum is σ = 115505312186880. Its totient is φ = 14335856640000.

The previous prime is 41122037123119. The next prime is 41122037123203. The reversal of 41122037123200 is 232173022114.

It is not an unprimeable number, because it can be changed into a prime (41122037123203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25274760787 + ... + 25274762413.

It is an arithmetic number, because the mean of its divisors is an integer number (150397541910).

Almost surely, 2^{41122037123200} is an apocalyptic number.

41122037123200 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 41122037123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57752656093440).

41122037123200 is an abundant number, since it is smaller than the sum of its proper divisors (74383275063680).

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

41122037123200 is a wasteful number, since it uses less digits than its factorization.

41122037123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 41122037123200 in words is "forty-one trillion, one hundred twenty-two billion, thirty-seven million, one hundred twenty-three thousand, two hundred".