Search a number
-
+
12230122332120 = 233571129101451897
BaseRepresentation
bin1011000111111000110000…
…0110001101111111011000
31121022012002020211210210020
42301332030012031333120
53100334242304111440
642002235102150440
72401411555401540
oct261761406157730
947265066753706
1012230122332120
113995847243a60
121456343282420
136a93ac536404
14303d26470320
15163200ad53d0
hexb1f8c18dfd8

12230122332120 has 512 divisors, whose sum is σ = 47789840332800. Its totient is φ = 2429392896000.

The previous prime is 12230122332097. The next prime is 12230122332163. The reversal of 12230122332120 is 2123322103221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26838012 + ... + 27289908.

It is an arithmetic number, because the mean of its divisors is an integer number (93339531900).

Almost surely, 212230122332120 is an apocalyptic number.

12230122332120 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 12230122332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23894920166400).

12230122332120 is an abundant number, since it is smaller than the sum of its proper divisors (35559718000680).

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

12230122332120 is a wasteful number, since it uses less digits than its factorization.

12230122332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452059 (or 452055 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12230122332120 its reverse (2123322103221), we get a palindrome (14353444435341).

The spelling of 12230122332120 in words is "twelve trillion, two hundred thirty billion, one hundred twenty-two million, three hundred thirty-two thousand, one hundred twenty".