12282117120 has 1056 divisors, whose sum is σ = 54720731520. Its totient is φ = 2477260800.

The previous prime is 12282117101. The next prime is 12282117167. The reversal of 12282117120 is 2171128221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121605070 + ... + 121605170.

Almost surely, 2^12282117120 is an apocalyptic number.

12282117120 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 12282117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27360365760).

12282117120 is an abundant number, since it is smaller than the sum of its proper divisors (42438614400).

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

12282117120 is a wasteful number, since it uses less digits than its factorization.

12282117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 12282117120 in words is "twelve billion, two hundred eighty-two million, one hundred seventeen thousand, one hundred twenty".