10122311231120 has 120 divisors (see below), whose sum is σ = 25870481000952. Its totient is φ = 3680538808320.

The previous prime is 10122311231111. The next prime is 10122311231203. The reversal of 10122311231120 is 2113211322101.

It can be written as a sum of positive squares in 4 ways, for example, as 1192350434704 + 8929960796416 = 1091948^2 + 2988304^2 .

It is a super-2 number, since 2×10122311231120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10122311231092 and 10122311231101.

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 23 ways as a sum of consecutive naturals, for example, 142618682 + ... + 142689638.

Almost surely, 2^{10122311231120} is an apocalyptic number.

10122311231120 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 10122311231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12935240500476).

10122311231120 is an abundant number, since it is smaller than the sum of its proper divisors (15748169769832).

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

10122311231120 is a wasteful number, since it uses less digits than its factorization.

10122311231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85729 (or 85712 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10122311231120 its reverse (2113211322101), we get a palindrome (12235522553221).

The spelling of 10122311231120 in words is "ten trillion, one hundred twenty-two billion, three hundred eleven million, two hundred thirty-one thousand, one hundred twenty".