10120240224 has 96 divisors (see below), whose sum is σ = 29778870240. Its totient is φ = 3343527936.

The previous prime is 10120240183. The next prime is 10120240243. The reversal of 10120240224 is 42204202101.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 10120240197 and 10120240206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45804 + ... + 149460.

It is an arithmetic number, because the mean of its divisors is an integer number (310196565).

Almost surely, 2^10120240224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14889435120).

10120240224 is an abundant number, since it is smaller than the sum of its proper divisors (19658630016).

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

10120240224 is a wasteful number, since it uses less digits than its factorization.

10120240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103789 (or 103775 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10120240224 its reverse (42204202101), we get a palindrome (52324442325).

The spelling of 10120240224 in words is "ten billion, one hundred twenty million, two hundred forty thousand, two hundred twenty-four".