1017141301200 has 240 divisors, whose sum is σ = 3279583204352. Its totient is φ = 269464320000.

The previous prime is 1017141301153. The next prime is 1017141301201. The reversal of 1017141301200 is 21031417101.

1017141301200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1017141301201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299951505 + ... + 299954895.

Almost surely, 2^{1017141301200} is an apocalyptic number.

1017141301200 is a gapful number since it is divisible by the number (10) 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 1017141301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639791602176).

1017141301200 is an abundant number, since it is smaller than the sum of its proper divisors (2262441903152).

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

1017141301200 is a wasteful number, since it uses less digits than its factorization.

1017141301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

Adding to 1017141301200 its reverse (21031417101), we get a palindrome (1038172718301).

The spelling of 1017141301200 in words is "one trillion, seventeen billion, one hundred forty-one million, three hundred one thousand, two hundred".