201434142120 has 32 divisors (see below), whose sum is σ = 604302426720. Its totient is φ = 53715771200.

The previous prime is 201434142061. The next prime is 201434142127. The reversal of 201434142120 is 21241434102.

201434142120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201434142120² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (201434142127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 839308806 + ... + 839309045.

It is an arithmetic number, because the mean of its divisors is an integer number (18884450835).

Almost surely, 2^201434142120 is an apocalyptic number.

201434142120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201434142120 is an abundant number, since it is smaller than the sum of its proper divisors (402868284600).

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

201434142120 is a wasteful number, since it uses less digits than its factorization.

201434142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678617865 (or 1678617861 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 201434142120 its reverse (21241434102), we get a palindrome (222675576222).

The spelling of 201434142120 in words is "two hundred one billion, four hundred thirty-four million, one hundred forty-two thousand, one hundred twenty".