2120013132120 has 192 divisors, whose sum is σ = 7427245906080. Its totient is φ = 521343019008.

The previous prime is 2120013132037. The next prime is 2120013132163. The reversal of 2120013132120 is 212313100212.

2120013132120 is a `hidden beast` number, since 212 + 0 + 0 + 131 + 321 + 2 + 0 = 666.

It is a super-2 number, since 2×2120013132120² (a number of 25 digits) contains 22 as substring.

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 = 2120013132093 and 2120013132102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4615179 + ... + 5053701.

Almost surely, 2^{2120013132120} is an apocalyptic number.

2120013132120 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 2120013132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713622953040).

2120013132120 is an abundant number, since it is smaller than the sum of its proper divisors (5307232773960).

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

2120013132120 is a wasteful number, since it uses less digits than its factorization.

2120013132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439586 (or 439579 counting only the distinct ones).

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

Adding to 2120013132120 its reverse (212313100212), we get a palindrome (2332326232332).

The spelling of 2120013132120 in words is "two trillion, one hundred twenty billion, thirteen million, one hundred thirty-two thousand, one hundred twenty".