4101241122000 has 480 divisors, whose sum is σ = 15707586900096. Its totient is φ = 989079552000.

The previous prime is 4101241121981. The next prime is 4101241122001. The reversal of 4101241122000 is 2211421014.

4101241122000 is a `hidden beast` number, since 41 + 0 + 12 + 411 + 2 + 200 + 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 (4101241122001) 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, 38160339 + ... + 38267661.

Almost surely, 2^{4101241122000} is an apocalyptic number.

4101241122000 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 4101241122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7853793450048).

4101241122000 is an abundant number, since it is smaller than the sum of its proper divisors (11606345778096).

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

4101241122000 is a wasteful number, since it uses less digits than its factorization.

4101241122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107556 (or 107537 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 4101241122000 its reverse (2211421014), we get a palindrome (4103452543014).

The spelling of 4101241122000 in words is "four trillion, one hundred one billion, two hundred forty-one million, one hundred twenty-two thousand".