10212480 has 160 divisors (see below), whose sum is σ = 36655740. Its totient is φ = 2709504.

The previous prime is 10212467. The next prime is 10212491. The reversal of 10212480 is 8421201.

It can be written as a sum of positive squares in 2 ways, for example, as 9585216 + 627264 = 3096^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51742 + ... + 51938.

Almost surely, 2^10212480 is an apocalyptic number.

10212480 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 10212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18327870).

10212480 is an abundant number, since it is smaller than the sum of its proper divisors (26443260).

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

10212480 is an equidigital number, since it uses as much as digits as its factorization.

10212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10212480 is about 3195.6971070488. The cubic root of 10212480 is about 216.9587015350.

Adding to 10212480 its reverse (8421201), we get a palindrome (18633681).

The spelling of 10212480 in words is "ten million, two hundred twelve thousand, four hundred eighty".