10123331220 has 72 divisors (see below), whose sum is σ = 30777626880. Its totient is φ = 2693384640.

The previous prime is 10123331213. The next prime is 10123331227. The reversal of 10123331220 is 2213332101.

10123331220 is a `hidden beast` number, since 101 + 233 + 312 + 20 = 666.

10123331220 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 (10123331213) and next prime (10123331227).

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 = 10123331193 and 10123331202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123331227) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14965 + ... + 143075.

It is an arithmetic number, because the mean of its divisors is an integer number (427467040).

Almost surely, 2^10123331220 is an apocalyptic number.

10123331220 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 10123331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15388813440).

10123331220 is an abundant number, since it is smaller than the sum of its proper divisors (20654295660).

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

10123331220 is a wasteful number, since it uses less digits than its factorization.

10123331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128565 (or 128560 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10123331220 its reverse (2213332101), we get a palindrome (12336663321).

The spelling of 10123331220 in words is "ten billion, one hundred twenty-three million, three hundred thirty-one thousand, two hundred twenty".