12251952 has 80 divisors (see below), whose sum is σ = 35712000. Its totient is φ = 4021056.

The previous prime is 12251929. The next prime is 12251963. The reversal of 12251952 is 25915221.

It is a super-2 number, since 2×12251952² = 300220655620608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33949 + ... + 34307.

It is an arithmetic number, because the mean of its divisors is an integer number (446400).

Almost surely, 2^12251952 is an apocalyptic number.

12251952 is a gapful number since it is divisible by the number (12) 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 12251952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856000).

12251952 is an abundant number, since it is smaller than the sum of its proper divisors (23460048).

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

12251952 is a wasteful number, since it uses less digits than its factorization.

12251952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 443 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 12251952 is about 3500.2788460350. The cubic root of 12251952 is about 230.5340582678.

It can be divided in two parts, 12251 and 952, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 12251952 in words is "twelve million, two hundred fifty-one thousand, nine hundred fifty-two".