12120170253120 has 1344 divisors, whose sum is σ = 47525386970880. Its totient is φ = 2926412955648.

The previous prime is 12120170253083. The next prime is 12120170253179. The reversal of 12120170253120 is 2135207102121.

It is a happy number.

12120170253120 is a `hidden beast` number, since 1 + 2 + 120 + 1 + 7 + 0 + 2 + 531 + 2 + 0 = 666.

It is a super-2 number, since 2×12120170253120² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17902762222 + ... + 17902762898.

It is an arithmetic number, because the mean of its divisors is an integer number (35361151020).

Almost surely, 2^{12120170253120} is an apocalyptic number.

12120170253120 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 12120170253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23762693485440).

12120170253120 is an abundant number, since it is smaller than the sum of its proper divisors (35405216717760).

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

12120170253120 is a wasteful number, since it uses less digits than its factorization.

12120170253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 12120170253120 its reverse (2135207102121), we get a palindrome (14255377355241).

The spelling of 12120170253120 in words is "twelve trillion, one hundred twenty billion, one hundred seventy million, two hundred fifty-three thousand, one hundred twenty".