10242123320 has 96 divisors (see below), whose sum is σ = 27222538320. Its totient is φ = 3437890560.

The previous prime is 10242123271. The next prime is 10242123341. The reversal of 10242123320 is 2332124201.

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 = 10242123292 and 10242123301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5492 + ... + 143228.

Almost surely, 2^10242123320 is an apocalyptic number.

10242123320 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 10242123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13611269160).

10242123320 is an abundant number, since it is smaller than the sum of its proper divisors (16980415000).

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

10242123320 is a wasteful number, since it uses less digits than its factorization.

10242123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137785 (or 137768 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10242123320 its reverse (2332124201), we get a palindrome (12574247521).

The spelling of 10242123320 in words is "ten billion, two hundred forty-two million, one hundred twenty-three thousand, three hundred twenty".