201141322000000 has 224 divisors, whose sum is σ = 501200068932000. Its totient is φ = 80405539200000.

The previous prime is 201141321999983. The next prime is 201141322000009. The reversal of 201141322000000 is 223141102.

201141322000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (201141322000009) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3237968941 + ... + 3238031059.

Almost surely, 2^{201141322000000} is an apocalyptic number.

201141322000000 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 201141322000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250600034466000).

201141322000000 is an abundant number, since it is smaller than the sum of its proper divisors (300058746932000).

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

201141322000000 is an frugal number, since it uses more digits than its factorization.

201141322000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63782 (or 63745 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 201141322000000 its reverse (223141102), we get a palindrome (201141545141102).

The spelling of 201141322000000 in words is "two hundred one trillion, one hundred forty-one billion, three hundred twenty-two million", and thus it is an aban number.