12270192 has 80 divisors (see below), whose sum is σ = 36640512. Its totient is φ = 3496960.

The previous prime is 12270173. The next prime is 12270197. The reversal of 12270192 is 29107221.

It is a super-2 number, since 2×12270192² = 301115223433728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12270197) by changing a digit.

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, 8293 + ... + 9659.

Almost surely, 2^12270192 is an apocalyptic number.

12270192 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 12270192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18320256).

12270192 is an abundant number, since it is smaller than the sum of its proper divisors (24370320).

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

12270192 is a wasteful number, since it uses less digits than its factorization.

12270192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 12270192 is about 3502.8833837283. The cubic root of 12270192 is about 230.6484034827.

The spelling of 12270192 in words is "twelve million, two hundred seventy thousand, one hundred ninety-two".