103112122320 has 120 divisors (see below), whose sum is σ = 366654619656. Its totient is φ = 25879117824.

The previous prime is 103112122301. The next prime is 103112122327. The reversal of 103112122320 is 23221211301.

103112122320 is a `hidden beast` number, since 10 + 311 + 2 + 1 + 22 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31006983744 + 72105138576 = 176088^2 + 268524^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 103112122293 and 103112122302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103112122327) 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, 4199857 + ... + 4224336.

Almost surely, 2^103112122320 is an apocalyptic number.

103112122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103112122320 is an abundant number, since it is smaller than the sum of its proper divisors (263542497336).

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

103112122320 is a wasteful number, since it uses less digits than its factorization.

103112122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8424229 (or 8424220 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103112122320 its reverse (23221211301), we get a palindrome (126333333621).

The spelling of 103112122320 in words is "one hundred three billion, one hundred twelve million, one hundred twenty-two thousand, three hundred twenty".