141412200012240 has 160 divisors (see below), whose sum is σ = 445826208867840. Its totient is φ = 37069250738688.

The previous prime is 141412200012229. The next prime is 141412200012313. The reversal of 141412200012240 is 42210002214141.

It is a happy number.

141412200012240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×141412200012240³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 141412200012240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369143839 + ... + 369526721.

It is an arithmetic number, because the mean of its divisors is an integer number (2786413805424).

Almost surely, 2^{141412200012240} is an apocalyptic number.

141412200012240 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 141412200012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222913104433920).

141412200012240 is an abundant number, since it is smaller than the sum of its proper divisors (304414008855600).

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

141412200012240 is a wasteful number, since it uses less digits than its factorization.

141412200012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409041 (or 409035 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 141412200012240 its reverse (42210002214141), we get a palindrome (183622202226381).

The spelling of 141412200012240 in words is "one hundred forty-one trillion, four hundred twelve billion, two hundred million, twelve thousand, two hundred forty".