Search a number
-
+
12120210001120 = 255135827024039
BaseRepresentation
bin1011000001011111010011…
…0011111100110011100000
31120220200101021101212200011
42300113310303330303200
53042034142230013440
641435540403334304
72360441050115044
oct260276463746340
946820337355604
1012120210001120
113953174632971
121438b89981394
1369bc14253470
142dc89ab8c024
1516041b5589ea
hexb05f4cfcce0

12120210001120 has 48 divisors (see below), whose sum is σ = 30836611219680. Its totient is φ = 4475154461184.

The previous prime is 12120210001087. The next prime is 12120210001169. The reversal of 12120210001120 is 2110001202121.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 12120210001120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2913509940 + ... + 2913514099.

It is an arithmetic number, because the mean of its divisors is an integer number (642429400410).

Almost surely, 212120210001120 is an apocalyptic number.

12120210001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120210001120 is an abundant number, since it is smaller than the sum of its proper divisors (18716401218560).

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

12120210001120 is a wasteful number, since it uses less digits than its factorization.

12120210001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5827024067 (or 5827024059 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12120210001120 its reverse (2110001202121), we get a palindrome (14230211203241).

The spelling of 12120210001120 in words is "twelve trillion, one hundred twenty billion, two hundred ten million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 5827024039 11654048078 23308096156 29135120195 46616192312 58270240390 75751312507 93232384624 116540480780 151502625014 186464769248 233080961560 303005250028 378756562535 466161923120 606010500056 757513125070 932323846240 1212021000112 1515026250140 2424042000224 3030052500280 6060105000560 12120210001120