2120001210 has 144 divisors (see below), whose sum is σ = 5870658456. Its totient is φ = 530385408.

The previous prime is 2120001197. The next prime is 2120001229. The reversal of 2120001210 is 121000212.

It can be written as a sum of positive squares in 12 ways, for example, as 742181049 + 1377820161 = 27243^2 + 37119^2 .

It is a super-3 number, since 3×2120001210³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2120001192 and 2120001201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2800152 + ... + 2800908.

Almost surely, 2^2120001210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935329228).

2120001210 is an abundant number, since it is smaller than the sum of its proper divisors (3750657246).

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

2120001210 is a wasteful number, since it uses less digits than its factorization.

2120001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2120001210 is about 46043.4708726438. The cubic root of 2120001210 is about 1284.6319021156.

Adding to 2120001210 its reverse (121000212), we get a palindrome (2241001422).

The spelling of 2120001210 in words is "two billion, one hundred twenty million, one thousand, two hundred ten".