10224012120 has 128 divisors (see below), whose sum is σ = 35184844800. Its totient is φ = 2328178176.

The previous prime is 10224012103. The next prime is 10224012137. The reversal of 10224012120 is 2121042201.

It is an interprime number because it is at equal distance from previous prime (10224012103) and next prime (10224012137).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10224012120.

It is a congruent number.

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, 203337 + ... + 248583.

It is an arithmetic number, because the mean of its divisors is an integer number (274881600).

Almost surely, 2^10224012120 is an apocalyptic number.

10224012120 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 10224012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17592422400).

10224012120 is an abundant number, since it is smaller than the sum of its proper divisors (24960832680).

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

10224012120 is a wasteful number, since it uses less digits than its factorization.

10224012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45537 (or 45533 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10224012120 its reverse (2121042201), we get a palindrome (12345054321).

The spelling of 10224012120 in words is "ten billion, two hundred twenty-four million, twelve thousand, one hundred twenty".