141229117512 has 756 divisors, whose sum is σ = 500962652505. Its totient is φ = 37194256512.

The previous prime is 141229117507. The next prime is 141229117517. The reversal of 141229117512 is 215711922141.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

141229117512 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 29 + 117 + 512 = 666.

141229117512 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141229117507) and next prime (141229117517).

It can be written as a sum of positive squares in 2 ways, for example, as 113942702916 + 27286414596 = 337554^2 + 165186^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=265734.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (141229117517) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 3817003158 + ... + 3817003194.

Almost surely, 2^141229117512 is an apocalyptic number.

141229117512 is a gapful number since it is divisible by the number (12) 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 141229117512

141229117512 is an abundant number, since it is smaller than the sum of its proper divisors (359733534993).

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

141229117512 is an equidigital number, since it uses as much as digits as its factorization.

141229117512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 68 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The spelling of 141229117512 in words is "one hundred forty-one billion, two hundred twenty-nine million, one hundred seventeen thousand, five hundred twelve".