10207120 has 80 divisors (see below), whose sum is σ = 29605248. Its totient is φ = 3179520.

The previous prime is 10207081. The next prime is 10207121. The reversal of 10207120 is 2170201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10207120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10207121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5332 + ... + 6988.

Almost surely, 2^10207120 is an apocalyptic number.

10207120 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 10207120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14802624).

10207120 is an abundant number, since it is smaller than the sum of its proper divisors (19398128).

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

10207120 is a wasteful number, since it uses less digits than its factorization.

10207120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 10207120 is about 3194.8583693178. The cubic root of 10207120 is about 216.9207381103.

Adding to 10207120 its reverse (2170201), we get a palindrome (12377321).

The spelling of 10207120 in words is "ten million, two hundred seven thousand, one hundred twenty".