2120242030020 has 144 divisors (see below), whose sum is σ = 6498434936448. Its totient is φ = 559534632960.

The previous prime is 2120242030019. The next prime is 2120242030033. The reversal of 2120242030020 is 200302420212.

2120242030020 is a `hidden beast` number, since 2 + 120 + 242 + 0 + 300 + 2 + 0 = 666.

It is a super-3 number, since 3×2120242030020³ (a number of 38 digits) contains 333 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 = 2120242029975 and 2120242030002.

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, 6668260 + ... + 6978980.

It is an arithmetic number, because the mean of its divisors is an integer number (45128020392).

Almost surely, 2^{2120242030020} is an apocalyptic number.

2120242030020 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 2120242030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249217468224).

2120242030020 is an abundant number, since it is smaller than the sum of its proper divisors (4378192906428).

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

2120242030020 is a wasteful number, since it uses less digits than its factorization.

2120242030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311130 (or 311125 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2120242030020 its reverse (200302420212), we get a palindrome (2320544450232).

The spelling of 2120242030020 in words is "two trillion, one hundred twenty billion, two hundred forty-two million, thirty thousand, twenty".