2232011300120 has 256 divisors, whose sum is σ = 6300127641600. Its totient is φ = 694009774080.

The previous prime is 2232011300111. The next prime is 2232011300131. The reversal of 2232011300120 is 210031102322.

2232011300120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232011300120³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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, 34349021 + ... + 34413939.

It is an arithmetic number, because the mean of its divisors is an integer number (24609873600).

Almost surely, 2^{2232011300120} is an apocalyptic number.

2232011300120 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 2232011300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150063820800).

2232011300120 is an abundant number, since it is smaller than the sum of its proper divisors (4068116341480).

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

2232011300120 is a wasteful number, since it uses less digits than its factorization.

2232011300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65218 (or 65214 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2232011300120 its reverse (210031102322), we get a palindrome (2442042402442).

The spelling of 2232011300120 in words is "two trillion, two hundred thirty-two billion, eleven million, three hundred thousand, one hundred twenty".