10822120 has 16 divisors (see below), whose sum is σ = 24349860. Its totient is φ = 4328832.

The previous prime is 10822117. The next prime is 10822127. The reversal of 10822120 is 2122801.

It can be written as a sum of positive squares in 2 ways, for example, as 10640644 + 181476 = 3262^2 + 426^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10822094 and 10822103.

It is not an unprimeable number, because it can be changed into a prime (10822127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 135237 + ... + 135316.

Almost surely, 2^10822120 is an apocalyptic number.

10822120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10822120 is an abundant number, since it is smaller than the sum of its proper divisors (13527740).

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

10822120 is a wasteful number, since it uses less digits than its factorization.

10822120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270564 (or 270560 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 10822120 is about 3289.6990743836. The cubic root of 10822120 is about 221.1926958534.

Adding to 10822120 its reverse (2122801), we get a palindrome (12944921).

It can be divided in two parts, 108221 and 20, that added together give a square (108241 = 329²).

The spelling of 10822120 in words is "ten million, eight hundred twenty-two thousand, one hundred twenty".