201123302003120 has 320 divisors, whose sum is σ = 571310217805824. Its totient is φ = 64342911959040.

The previous prime is 201123302003053. The next prime is 201123302003131. The reversal of 201123302003120 is 21300203321102.

201123302003120 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 = 201123302003092 and 201123302003101.

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, 8060072564 + ... + 8060097516.

Almost surely, 2^{201123302003120} is an apocalyptic number.

201123302003120 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 201123302003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285655108902912).

201123302003120 is an abundant number, since it is smaller than the sum of its proper divisors (370186915802704).

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

201123302003120 is a wasteful number, since it uses less digits than its factorization.

201123302003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40300 (or 40294 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 201123302003120 its reverse (21300203321102), we get a palindrome (222423505324222).

The spelling of 201123302003120 in words is "two hundred one trillion, one hundred twenty-three billion, three hundred two million, three thousand, one hundred twenty".