2011201323120 has 480 divisors, whose sum is σ = 7428088571904. Its totient is φ = 483622963200.

The previous prime is 2011201323119. The next prime is 2011201323133. The reversal of 2011201323120 is 213231021102.

2011201323120 is a `hidden beast` number, since 20 + 1 + 1 + 201 + 323 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2011201323093 and 2011201323102.

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, 635047777 + ... + 635050943.

Almost surely, 2^{2011201323120} is an apocalyptic number.

2011201323120 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 2011201323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714044285952).

2011201323120 is an abundant number, since it is smaller than the sum of its proper divisors (5416887248784).

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

2011201323120 is a wasteful number, since it uses less digits than its factorization.

2011201323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2011201323120 its reverse (213231021102), we get a palindrome (2224432344222).

The spelling of 2011201323120 in words is "two trillion, eleven billion, two hundred one million, three hundred twenty-three thousand, one hundred twenty".