10122120320 has 64 divisors (see below), whose sum is σ = 26059614840. Its totient is φ = 3737395200.

The previous prime is 10122120293. The next prime is 10122120367. The reversal of 10122120320 is 2302122101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5796690496 + 4325429824 = 76136^2 + 65768^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10122120295 and 10122120304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 599981 + ... + 616620.

Almost surely, 2^10122120320 is an apocalyptic number.

10122120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122120320 is an abundant number, since it is smaller than the sum of its proper divisors (15937494520).

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

10122120320 is a wasteful number, since it uses less digits than its factorization.

10122120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216633 (or 1216621 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10122120320 its reverse (2302122101), we get a palindrome (12424242421).

The spelling of 10122120320 in words is "ten billion, one hundred twenty-two million, one hundred twenty thousand, three hundred twenty".