10052232120 has 192 divisors, whose sum is σ = 38205573120. Its totient is φ = 2244195072.

The previous prime is 10052232103. The next prime is 10052232137. The reversal of 10052232120 is 2123225001.

10052232120 is a `hidden beast` number, since 100 + 522 + 3 + 21 + 20 = 666.

10052232120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10052232103) and next prime (10052232137).

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 = 10052232093 and 10052232102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61977 + ... + 154743.

It is an arithmetic number, because the mean of its divisors is an integer number (198987360).

Almost surely, 2^10052232120 is an apocalyptic number.

10052232120 is a gapful number since it is divisible by the number (10) 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 10052232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19102786560).

10052232120 is an abundant number, since it is smaller than the sum of its proper divisors (28153341000).

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

10052232120 is a wasteful number, since it uses less digits than its factorization.

10052232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92834 (or 92827 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10052232120 its reverse (2123225001), we get a palindrome (12175457121).

The spelling of 10052232120 in words is "ten billion, fifty-two million, two hundred thirty-two thousand, one hundred twenty".