10123332240 has 320 divisors, whose sum is σ = 39397478400. Its totient is φ = 2096658432.

The previous prime is 10123332229. The next prime is 10123332281. The reversal of 10123332240 is 4223332101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 727266 + ... + 741054.

It is an arithmetic number, because the mean of its divisors is an integer number (123117120).

Almost surely, 2^10123332240 is an apocalyptic number.

10123332240 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 10123332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19698739200).

10123332240 is an abundant number, since it is smaller than the sum of its proper divisors (29274146160).

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

10123332240 is a wasteful number, since it uses less digits than its factorization.

10123332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13854 (or 13848 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10123332240 its reverse (4223332101), we get a palindrome (14346664341).

The spelling of 10123332240 in words is "ten billion, one hundred twenty-three million, three hundred thirty-two thousand, two hundred forty".