141012000 has 144 divisors (see below), whose sum is σ = 500579352. Its totient is φ = 37593600.

The previous prime is 141011999. The next prime is 141012013. The reversal of 141012000 is 210141.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 64064016 + 76947984 = 8004^2 + 8772^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34042 + ... + 37958.

Almost surely, 2^141012000 is an apocalyptic number.

141012000 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 141012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250289676).

141012000 is an abundant number, since it is smaller than the sum of its proper divisors (359567352).

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

141012000 is a wasteful number, since it uses less digits than its factorization.

141012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 141012000 is about 11874.8473674401. The cubic root of 141012000 is about 520.4975513897.

Adding to 141012000 its reverse (210141), we get a palindrome (141222141).

The spelling of 141012000 in words is "one hundred forty-one million, twelve thousand".