Search a number
-
+
12002102120 = 2358389151269
BaseRepresentation
bin10110010110110000…
…11000101101101000
31010222110001221220202
423023120120231220
5144040014231440
65302542411332
7603265120241
oct131330305550
933873057822
1012002102120
1150a9967a68
1223ab590b48
13119371c598
1481c007cc8
154a3a38615
hex2cb618b68

12002102120 has 128 divisors (see below), whose sum is σ = 27923616000. Its totient is φ = 4641331200.

The previous prime is 12002102113. The next prime is 12002102173. The reversal of 12002102120 is 2120120021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44617346 + ... + 44617614.

It is an arithmetic number, because the mean of its divisors is an integer number (218153250).

Almost surely, 212002102120 is an apocalyptic number.

12002102120 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 12002102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13961808000).

12002102120 is an abundant number, since it is smaller than the sum of its proper divisors (15921513880).

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

12002102120 is a wasteful number, since it uses less digits than its factorization.

12002102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12002102120 its reverse (2120120021), we get a palindrome (14122222141).

The spelling of 12002102120 in words is "twelve billion, two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 89 151 166 178 269 302 332 356 415 445 538 604 664 712 755 830 890 1076 1208 1345 1510 1660 1780 2152 2690 3020 3320 3560 5380 6040 7387 10760 12533 13439 14774 22327 23941 25066 26878 29548 36935 40619 44654 47882 50132 53756 59096 62665 67195 73870 81238 89308 95764 100264 107512 111635 119705 125330 134390 147740 162476 178616 191528 203095 223270 239410 250660 268780 295480 324952 406190 446540 478820 501320 537560 812380 893080 957640 1115437 1624760 1987103 2230874 3371377 3615091 3974206 4461748 5577185 6742754 7230182 7948412 8923496 9935515 11154370 13485508 14460364 15896824 16856885 18075455 19871030 22308740 26971016 28920728 33713770 36150910 39742060 44617480 67427540 72301820 79484120 134855080 144603640 300052553 600105106 1200210212 1500262765 2400420424 3000525530 6001051060 12002102120