200013142124142 has 128 divisors (see below), whose sum is σ = 471065771404800. Its totient is φ = 62731334131200.

The previous prime is 200013142124077. The next prime is 200013142124149. The reversal of 200013142124142 is 241421241310002.

200013142124142 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 1 + 31 + 4 + 212 + 414 + 2 = 666.

200013142124142 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200013142124149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114545142 + ... + 116278182.

It is an arithmetic number, because the mean of its divisors is an integer number (3680201339100).

Almost surely, 2^{200013142124142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200013142124142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235532885702400).

200013142124142 is an abundant number, since it is smaller than the sum of its proper divisors (271052629280658).

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

200013142124142 is a wasteful number, since it uses less digits than its factorization.

200013142124142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733839 (or 1733833 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 200013142124142 its reverse (241421241310002), we get a palindrome (441434383434144).

The spelling of 200013142124142 in words is "two hundred trillion, thirteen billion, one hundred forty-two million, one hundred twenty-four thousand, one hundred forty-two".