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12120131013320 = 23511192321723719
BaseRepresentation
bin1011000001011111000000…
…0110101000101011001000
31120220200011202202212210002
42300113300012220223020
53042034012014411240
641435524502342132
72360436100535651
oct260276006505310
946820152685702
1012120131013320
113953133a931a0
121438b6742a948
1369bc00a88a15
142dc8904aa528
15160414654d15
hexb05f01a8ac8

12120131013320 has 192 divisors, whose sum is σ = 31408663420800. Its totient is φ = 4173882255360.

The previous prime is 12120131013259. The next prime is 12120131013371. The reversal of 12120131013320 is 2331013102121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12120131013292 and 12120131013301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510976421 + ... + 511000139.

It is an arithmetic number, because the mean of its divisors is an integer number (163586788650).

Almost surely, 212120131013320 is an apocalyptic number.

12120131013320 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 12120131013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15704331710400).

12120131013320 is an abundant number, since it is smaller than the sum of its proper divisors (19288532407480).

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

12120131013320 is a wasteful number, since it uses less digits than its factorization.

12120131013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26996 (or 26973 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12120131013320 its reverse (2331013102121), we get a palindrome (14451144115441).

The spelling of 12120131013320 in words is "twelve trillion, one hundred twenty billion, one hundred thirty-one million, thirteen thousand, three hundred twenty".