201001232123120 has 640 divisors, whose sum is σ = 558398708195328. Its totient is φ = 66328657920000.

The previous prime is 201001232123089. The next prime is 201001232123137. The reversal of 201001232123120 is 21321232100102.

201001232123120 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 201001232123092 and 201001232123101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 174328908464 + ... + 174328909616.

Almost surely, 2^{201001232123120} is an apocalyptic number.

201001232123120 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 201001232123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279199354097664).

201001232123120 is an abundant number, since it is smaller than the sum of its proper divisors (357397476072208).

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

201001232123120 is a wasteful number, since it uses less digits than its factorization.

201001232123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 201001232123120 its reverse (21321232100102), we get a palindrome (222322464223222).

The spelling of 201001232123120 in words is "two hundred one trillion, one billion, two hundred thirty-two million, one hundred twenty-three thousand, one hundred twenty".