Search a number
-
+
12120123301110 = 232511371409234833
BaseRepresentation
bin1011000001011110111110…
…1001001101110011110110
31120220200011020021001121200
42300113233221031303312
53042034003031113420
641435524025153330
72360435645145246
oct260275751156366
946820136231550
1012120123301110
11395312a6a5970
121438b6492b846
1369bbcc2b8596
142dc88d45db26
15160413b2eb90
hexb05efa4dcf6

12120123301110 has 192 divisors, whose sum is σ = 35331395261760. Its totient is φ = 2856759459840.

The previous prime is 12120123301061. The next prime is 12120123301123. The reversal of 12120123301110 is 1110332102121.

12120123301110 is a `hidden beast` number, since 1 + 21 + 201 + 2 + 330 + 1 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 51494254 + ... + 51729086.

It is an arithmetic number, because the mean of its divisors is an integer number (184017683655).

Almost surely, 212120123301110 is an apocalyptic number.

12120123301110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120123301110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17665697630880).

12120123301110 is an abundant number, since it is smaller than the sum of its proper divisors (23211271960650).

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

12120123301110 is a wasteful number, since it uses less digits than its factorization.

12120123301110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236303 (or 236300 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12120123301110 its reverse (1110332102121), we get a palindrome (13230455403231).

The spelling of 12120123301110 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-three million, three hundred one thousand, one hundred ten".