10206120 has 64 divisors (see below), whose sum is σ = 32425920. Its totient is φ = 2561024.

The previous prime is 10206107. The next prime is 10206121. The reversal of 10206120 is 2160201.

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 = 10206096 and 10206105.

It is not an unprimeable number, because it can be changed into a prime (10206121) 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, 462 + ... + 4541.

It is an arithmetic number, because the mean of its divisors is an integer number (506655).

Almost surely, 2^10206120 is an apocalyptic number.

10206120 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 10206120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16212960).

10206120 is an abundant number, since it is smaller than the sum of its proper divisors (22219800).

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

10206120 is a wasteful number, since it uses less digits than its factorization.

10206120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10206120 is about 3194.7018640242. The cubic root of 10206120 is about 216.9136539108.

Adding to 10206120 its reverse (2160201), we get a palindrome (12366321).

It can be divided in two parts, 1020 and 6120, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 10206120 in words is "ten million, two hundred six thousand, one hundred twenty".