201241124141000 has 256 divisors, whose sum is σ = 485106658283520. Its totient is φ = 78091130880000.

The previous prime is 201241124140957. The next prime is 201241124141003. The reversal of 201241124141000 is 141421142102.

It is not an unprimeable number, because it can be changed into a prime (201241124141003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39053194424 + ... + 39053199576.

It is an arithmetic number, because the mean of its divisors is an integer number (1894947883920).

Almost surely, 2^{201241124141000} is an apocalyptic number.

201241124141000 is a gapful number since it is divisible by the number (20) 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 201241124141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242553329141760).

201241124141000 is an abundant number, since it is smaller than the sum of its proper divisors (283865534142520).

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

201241124141000 is a wasteful number, since it uses less digits than its factorization.

201241124141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10393 (or 10379 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 201241124141000 its reverse (141421142102), we get a palindrome (201382545283102).

The spelling of 201241124141000 in words is "two hundred one trillion, two hundred forty-one billion, one hundred twenty-four million, one hundred forty-one thousand".