201123440134000 has 80 divisors (see below), whose sum is σ = 486326185899840. Its totient is φ = 80447770156800.

The previous prime is 201123440133983. The next prime is 201123440134003. The reversal of 201123440134000 is 431044321102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201123440134003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101848021 + ... + 103803979.

It is an arithmetic number, because the mean of its divisors is an integer number (6079077323748).

Almost surely, 2^{201123440134000} is an apocalyptic number.

201123440134000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201123440134000 is an abundant number, since it is smaller than the sum of its proper divisors (285202745765840).

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

201123440134000 is a wasteful number, since it uses less digits than its factorization.

201123440134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007395 (or 2007379 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 201123440134000 its reverse (431044321102), we get a palindrome (201554484455102).

The spelling of 201123440134000 in words is "two hundred one trillion, one hundred twenty-three billion, four hundred forty million, one hundred thirty-four thousand".