2120202132282 has 96 divisors (see below), whose sum is σ = 4963766148432. Its totient is φ = 650178772992.

The previous prime is 2120202132259. The next prime is 2120202132283. The reversal of 2120202132282 is 2822312020212.

It is a happy number.

2120202132282 is a `hidden beast` number, since 21 + 202 + 0 + 213 + 228 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1155326169321 + 964875962961 = 1074861^2 + 982281^2 .

It is not an unprimeable number, because it can be changed into a prime (2120202132283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338849698 + ... + 338855954.

Almost surely, 2^{2120202132282} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120202132282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481883074216).

2120202132282 is an abundant number, since it is smaller than the sum of its proper divisors (2843564016150).

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

2120202132282 is a wasteful number, since it uses less digits than its factorization.

2120202132282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10912 (or 10909 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 2120202132282 its reverse (2822312020212), we get a palindrome (4942514152494).

The spelling of 2120202132282 in words is "two trillion, one hundred twenty billion, two hundred two million, one hundred thirty-two thousand, two hundred eighty-two".