10242120 has 128 divisors (see below), whose sum is σ = 35769600. Its totient is φ = 2297856.

The previous prime is 10242101. The next prime is 10242131. The reversal of 10242120 is 2124201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10242096 and 10242105.

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, 74692 + ... + 74828.

It is an arithmetic number, because the mean of its divisors is an integer number (279450).

Almost surely, 2^10242120 is an apocalyptic number.

10242120 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 10242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17884800).

10242120 is an abundant number, since it is smaller than the sum of its proper divisors (25527480).

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

10242120 is a wasteful number, since it uses less digits than its factorization.

10242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 10242120 is about 3200.3312328570. The cubic root of 10242120 is about 217.1683941408.

Adding to 10242120 its reverse (2124201), we get a palindrome (12366321).

The spelling of 10242120 in words is "ten million, two hundred forty-two thousand, one hundred twenty".