201134400124 has 96 divisors (see below), whose sum is σ = 417186201600. Its totient is φ = 84795480000.

The previous prime is 201134400119. The next prime is 201134400139. The reversal of 201134400124 is 421004431102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201134400095 and 201134400104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105803574 + ... + 105805474.

It is an arithmetic number, because the mean of its divisors is an integer number (4345689600).

Almost surely, 2^201134400124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201134400124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208593100800).

201134400124 is an abundant number, since it is smaller than the sum of its proper divisors (216051801476).

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

201134400124 is a wasteful number, since it uses less digits than its factorization.

201134400124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 201134400124 its reverse (421004431102), we get a palindrome (622138831226).

The spelling of 201134400124 in words is "two hundred one billion, one hundred thirty-four million, four hundred thousand, one hundred twenty-four".