141011712000 has 768 divisors, whose sum is σ = 544581273600. Its totient is φ = 35927654400.

The previous prime is 141011711989. The next prime is 141011712031. The reversal of 141011712000 is 217110141.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158975557 + ... + 158976443.

It is an arithmetic number, because the mean of its divisors is an integer number (709090200).

Almost surely, 2^141011712000 is an apocalyptic number.

141011712000 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 141011712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272290636800).

141011712000 is an abundant number, since it is smaller than the sum of its proper divisors (403569561600).

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

141011712000 is an equidigital number, since it uses as much as digits as its factorization.

141011712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

Adding to 141011712000 its reverse (217110141), we get a palindrome (141228822141).

The spelling of 141011712000 in words is "one hundred forty-one billion, eleven million, seven hundred twelve thousand".