103120411120 has 80 divisors (see below), whose sum is σ = 244347217920. Its totient is φ = 40465596672.

The previous prime is 103120411111. The next prime is 103120411133. The reversal of 103120411120 is 21114021301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103120411094 and 103120411103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823201 + ... + 940159.

It is an arithmetic number, because the mean of its divisors is an integer number (3054340224).

Almost surely, 2^103120411120 is an apocalyptic number.

103120411120 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 103120411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122173608960).

103120411120 is an abundant number, since it is smaller than the sum of its proper divisors (141226806800).

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

103120411120 is a wasteful number, since it uses less digits than its factorization.

103120411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117182 (or 117176 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 103120411120 its reverse (21114021301), we get a palindrome (124234432421).

The spelling of 103120411120 in words is "one hundred three billion, one hundred twenty million, four hundred eleven thousand, one hundred twenty".