Search a number
-
+
12123012210 = 2353147337823
BaseRepresentation
bin10110100101001011…
…00111110001110010
31011021212120211101020
423102211213301302
5144311442342320
65322542120310
7606263621631
oct132245476162
934255524336
1012123012210
115161140561
122423b80096
1311b27a480a
148300bd518
154ae46d940
hex2d2967c72

12123012210 has 128 divisors (see below), whose sum is σ = 30801199104. Its totient is φ = 3049159680.

The previous prime is 12123012191. The next prime is 12123012211. The reversal of 12123012210 is 1221032121.

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 12123012210.

It is not an unprimeable number, because it can be changed into a prime (12123012211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14729859 + ... + 14730681.

It is an arithmetic number, because the mean of its divisors is an integer number (240634368).

Almost surely, 212123012210 is an apocalyptic number.

12123012210 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 12123012210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15400599552).

12123012210 is an abundant number, since it is smaller than the sum of its proper divisors (18678186894).

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

12123012210 is a wasteful number, since it uses less digits than its factorization.

12123012210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12123012210 its reverse (1221032121), we get a palindrome (13344044331).

The spelling of 12123012210 in words is "twelve billion, one hundred twenty-three million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 47 62 93 94 141 155 186 235 282 310 337 465 470 674 705 823 930 1011 1410 1457 1646 1685 2022 2469 2914 3370 4115 4371 4938 5055 7285 8230 8742 10110 10447 12345 14570 15839 20894 21855 24690 25513 31341 31678 38681 43710 47517 51026 52235 62682 76539 77362 79195 95034 104470 116043 127565 153078 156705 158390 193405 232086 237585 255130 277351 313410 382695 386810 475170 491009 554702 580215 765390 832053 982018 1160430 1199111 1386755 1473027 1664106 2398222 2455045 2773510 2946054 3597333 4160265 4910090 5995555 7194666 7365135 8320530 8597881 11991110 13035497 14730270 17195762 17986665 25793643 26070994 35973330 39106491 42989405 51587286 65177485 78212982 85978810 128968215 130354970 195532455 257936430 391064910 404100407 808200814 1212301221 2020502035 2424602442 4041004070 6061506105 12123012210