201240134223000 has 384 divisors, whose sum is σ = 654876476467200. Its totient is φ = 51397323264000.

The previous prime is 201240134222999. The next prime is 201240134223017. The reversal of 201240134223000 is 322431042102.

It is a happy number.

201240134223000 is digitally balanced in base 2 and base 4, because in such bases 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 874922011 + ... + 875151989.

It is an arithmetic number, because the mean of its divisors is an integer number (1705407490800).

Almost surely, 2^{201240134223000} is an apocalyptic number.

201240134223000 is a gapful number since it is divisible by the number (20) 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 201240134223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327438238233600).

201240134223000 is an abundant number, since it is smaller than the sum of its proper divisors (453636342244200).

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

201240134223000 is a wasteful number, since it uses less digits than its factorization.

201240134223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230228 (or 230117 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 201240134223000 its reverse (322431042102), we get a palindrome (201562565265102).

The spelling of 201240134223000 in words is "two hundred one trillion, two hundred forty billion, one hundred thirty-four million, two hundred twenty-three thousand".