10234302120 has 768 divisors, whose sum is σ = 42254784000. Its totient is φ = 2096160768.

The previous prime is 10234302119. The next prime is 10234302181. The reversal of 10234302120 is 2120343201.

10234302120 is a `hidden beast` number, since 1 + 0 + 23 + 430 + 212 + 0 = 666.

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 = 10234302093 and 10234302102.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93892626 + ... + 93892734.

It is an arithmetic number, because the mean of its divisors is an integer number (55019250).

Almost surely, 2^10234302120 is an apocalyptic number.

10234302120 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 10234302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21127392000).

10234302120 is an abundant number, since it is smaller than the sum of its proper divisors (32020481880).

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

10234302120 is a wasteful number, since it uses less digits than its factorization.

10234302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10234302120 its reverse (2120343201), we get a palindrome (12354645321).

The spelling of 10234302120 in words is "ten billion, two hundred thirty-four million, three hundred two thousand, one hundred twenty".