10122412320 has 192 divisors, whose sum is σ = 35476116480. Its totient is φ = 2695680000.

The previous prime is 10122412303. The next prime is 10122412331. The reversal of 10122412320 is 2321422101.

It is a happy number.

10122412320 is a `hidden beast` number, since 101 + 2 + 241 + 2 + 320 = 666.

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 = 10122412293 and 10122412302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5187345 + ... + 5189295.

It is an arithmetic number, because the mean of its divisors is an integer number (184771440).

Almost surely, 2^10122412320 is an apocalyptic number.

10122412320 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 10122412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17738058240).

10122412320 is an abundant number, since it is smaller than the sum of its proper divisors (25353704160).

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

10122412320 is a wasteful number, since it uses less digits than its factorization.

10122412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10122412320 its reverse (2321422101), we get a palindrome (12443834421).

The spelling of 10122412320 in words is "ten billion, one hundred twenty-two million, four hundred twelve thousand, three hundred twenty".