2120002120 has 64 divisors (see below), whose sum is σ = 4908619440. Its totient is φ = 823680000.

The previous prime is 2120002103. The next prime is 2120002133. The reversal of 2120002120 is 212000212.

It can be written as a sum of positive squares in 8 ways, for example, as 2068248484 + 51753636 = 45478^2 + 7194^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2120002097 and 2120002106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209170 + ... + 219070.

Almost surely, 2^2120002120 is an apocalyptic number.

2120002120 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 2120002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454309720).

2120002120 is an abundant number, since it is smaller than the sum of its proper divisors (2788617320).

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

2120002120 is a wasteful number, since it uses less digits than its factorization.

2120002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10066 (or 10062 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2120002120 is about 46043.4807546085. The cubic root of 2120002120 is about 1284.6320859229.

2120002120 divided by its sum of digits (10) gives a palindrome (212000212).

Adding to 2120002120 its reverse (212000212), we get a palindrome (2332002332).

It can be divided in two parts, 212000 and 2120, that multiplied together give a square (449440000 = 21200²).

The spelling of 2120002120 in words is "two billion, one hundred twenty million, two thousand, one hundred twenty".