541413100122000 has 80 divisors (see below), whose sum is σ = 1745515834812672. Its totient is φ = 144376826697600.

The previous prime is 541413100121953. The next prime is 541413100122049. The reversal of 541413100122000 is 221001314145.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×541413100122000³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45117752344 + ... + 45117764343.

Almost surely, 2^{541413100122000} is an apocalyptic number.

541413100122000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

541413100122000 is an abundant number, since it is smaller than the sum of its proper divisors (1204102734690672).

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

541413100122000 is a wasteful number, since it uses less digits than its factorization.

541413100122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90235516713 (or 90235516697 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 541413100122000 its reverse (221001314145), we get a palindrome (541634101436145).

The spelling of 541413100122000 in words is "five hundred forty-one trillion, four hundred thirteen billion, one hundred million, one hundred twenty-two thousand".