201234240104520 has 256 divisors, whose sum is σ = 701713476864000. Its totient is φ = 45212060399616.

The previous prime is 201234240104467. The next prime is 201234240104543. The reversal of 201234240104520 is 25401042432102.

It is a happy number.

201234240104520 is digitally balanced in base 3, 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 483943819 + ... + 484359461.

It is an arithmetic number, because the mean of its divisors is an integer number (2741068269000).

Almost surely, 2^{201234240104520} is an apocalyptic number.

201234240104520 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 201234240104520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350856738432000).

201234240104520 is an abundant number, since it is smaller than the sum of its proper divisors (500479236759480).

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

201234240104520 is a wasteful number, since it uses less digits than its factorization.

201234240104520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425492 (or 425488 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 201234240104520 its reverse (25401042432102), we get a palindrome (226635282536622).

The spelling of 201234240104520 in words is "two hundred one trillion, two hundred thirty-four billion, two hundred forty million, one hundred four thousand, five hundred twenty".