10123311120 has 320 divisors, whose sum is σ = 35177581824. Its totient is φ = 2392104960.

The previous prime is 10123311119. The next prime is 10123311127. The reversal of 10123311120 is 2111332101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10123311120.

It is not an unprimeable number, because it can be changed into a prime (10123311127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8183142 + ... + 8184378.

Almost surely, 2^10123311120 is an apocalyptic number.

10123311120 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 10123311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17588790912).

10123311120 is an abundant number, since it is smaller than the sum of its proper divisors (25054270704).

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

10123311120 is a wasteful number, since it uses less digits than its factorization.

10123311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10123311120 its reverse (2111332101), we get a palindrome (12234643221).

The spelling of 10123311120 in words is "ten billion, one hundred twenty-three million, three hundred eleven thousand, one hundred twenty".