41100123000 has 128 divisors (see below), whose sum is σ = 128314368000. Its totient is φ = 10953027200.

The previous prime is 41100122983. The next prime is 41100123059. The reversal of 41100123000 is 32100114.

It is a happy number.

It is a super-2 number, since 2×41100123000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6113641 + ... + 6120359.

It is an arithmetic number, because the mean of its divisors is an integer number (1002456000).

Almost surely, 2^41100123000 is an apocalyptic number.

41100123000 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 41100123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64157184000).

41100123000 is an abundant number, since it is smaller than the sum of its proper divisors (87214245000).

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

41100123000 is a wasteful number, since it uses less digits than its factorization.

41100123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8782 (or 8768 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 41100123000 its reverse (32100114), we get a palindrome (41132223114).

The spelling of 41100123000 in words is "forty-one billion, one hundred million, one hundred twenty-three thousand".