Search a number
-
+
12123111300 = 2235269158481
BaseRepresentation
bin10110100101001011…
…11111111110000100
31011021212202212022020
423102211333332010
5144312004030200
65322544203140
7606264513546
oct132245777604
934255685266
1012123111300
1151611a8a53
1224240094b0
1311b280a951
14830107696
154ae48cea0
hex2d297ff84

12123111300 has 72 divisors (see below), whose sum is σ = 35127564192. Its totient is φ = 3228096000.

The previous prime is 12123111293. The next prime is 12123111361. The reversal of 12123111300 is 311132121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12123111300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178060 + ... + 236540.

It is an arithmetic number, because the mean of its divisors is an integer number (487882836).

Almost surely, 212123111300 is an apocalyptic number.

12123111300 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 12123111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17563782096).

12123111300 is an abundant number, since it is smaller than the sum of its proper divisors (23004452892).

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

12123111300 is a wasteful number, since it uses less digits than its factorization.

12123111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59189 (or 59182 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12123111300 its reverse (311132121), we get a palindrome (12434243421).

The spelling of 12123111300 in words is "twelve billion, one hundred twenty-three million, one hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 691 1382 2073 2764 3455 4146 6910 8292 10365 13820 17275 20730 34550 41460 51825 58481 69100 103650 116962 175443 207300 233924 292405 350886 584810 701772 877215 1169620 1462025 1754430 2924050 3508860 4386075 5848100 8772150 17544300 40410371 80820742 121231113 161641484 202051855 242462226 404103710 484924452 606155565 808207420 1010259275 1212311130 2020518550 2424622260 3030777825 4041037100 6061555650 12123111300