210303242112132 has 240 divisors, whose sum is σ = 608123004708912. Its totient is φ = 62953933639680.

The previous prime is 210303242112121. The next prime is 210303242112151. The reversal of 210303242112132 is 231211242303012.

210303242112132 is a `hidden beast` number, since 2 + 1 + 0 + 303 + 242 + 112 + 1 + 3 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1297699175556 + 209005542936576 = 1139166^2 + 14457024^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 210303242112096 and 210303242112105.

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 79 ways as a sum of consecutive naturals, for example, 1844045032 + ... + 1844159072.

Almost surely, 2^{210303242112132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210303242112132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304061502354456).

210303242112132 is an abundant number, since it is smaller than the sum of its proper divisors (397819762596780).

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

210303242112132 is a wasteful number, since it uses less digits than its factorization.

210303242112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125940 (or 125929 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 210303242112132 its reverse (231211242303012), we get a palindrome (441514484415144).

The spelling of 210303242112132 in words is "two hundred ten trillion, three hundred three billion, two hundred forty-two million, one hundred twelve thousand, one hundred thirty-two".