12251520 has 128 divisors (see below), whose sum is σ = 43452000. Its totient is φ = 3262464.

The previous prime is 12251501. The next prime is 12251549. The reversal of 12251520 is 2515221.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 12251493 and 12251502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16926 + ... + 17634.

Almost surely, 2^12251520 is an apocalyptic number.

12251520 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 12251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21726000).

12251520 is an abundant number, since it is smaller than the sum of its proper divisors (31200480).

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

12251520 is an equidigital number, since it uses as much as digits as its factorization.

12251520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 12251520 is about 3500.2171361217. The cubic root of 12251520 is about 230.5313487163.

Adding to 12251520 its reverse (2515221), we get a palindrome (14766741).

The spelling of 12251520 in words is "twelve million, two hundred fifty-one thousand, five hundred twenty".