Search a number
-
+
1212334331120 = 2451126310135171
BaseRepresentation
bin10001101001000100110…
…000011101010011110000
311021220020122221001101222
4101221010300131103300
5124330330042043440
62324534432044212
7153405526534043
oct21510460352360
94256218831358
101212334331120
1142816a140680
12176b60393668
138a426aaa7a3
144296a6d4c5a
152180799c2b5
hex11a44c1d4f0

1212334331120 has 160 divisors (see below), whose sum is σ = 3090256925184. Its totient is φ = 438654233600.

The previous prime is 1212334331071. The next prime is 1212334331123. The reversal of 1212334331120 is 211334332121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1212334331120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212334331123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234446135 + ... + 234451305.

Almost surely, 21212334331120 is an apocalyptic number.

1212334331120 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 1212334331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545128462592).

1212334331120 is an abundant number, since it is smaller than the sum of its proper divisors (1877922594064).

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

1212334331120 is a wasteful number, since it uses less digits than its factorization.

1212334331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6471 (or 6465 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 1212334331120 its reverse (211334332121), we get a palindrome (1423668663241).

The spelling of 1212334331120 in words is "one trillion, two hundred twelve billion, three hundred thirty-four million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 263 440 526 880 1013 1052 1315 2026 2104 2630 2893 4052 4208 5065 5171 5260 5786 8104 10130 10342 10520 11143 11572 14465 16208 20260 20684 21040 22286 23144 25855 28930 40520 41368 44572 46288 51710 55715 56881 57860 81040 82736 89144 103420 111430 113762 115720 178288 206840 222860 227524 231440 266419 284405 413680 445720 455048 532838 568810 891440 910096 1065676 1137620 1332095 1359973 2131352 2275240 2664190 2719946 2930609 4262704 4550480 5238223 5328380 5439892 5861218 6799865 10476446 10656760 10879784 11722436 13599730 14653045 14959703 20952892 21313520 21759568 23444872 26191115 27199460 29306090 29919406 41905784 46889744 52382230 54398920 57620453 58612180 59838812 74798515 83811568 104764460 108797840 115240906 117224360 119677624 149597030 209528920 230481812 234448720 239355248 288102265 299194060 419057840 460963624 576204530 598388120 921927248 1152409060 1196776240 1377652649 2304818120 2755305298 4609636240 5510610596 6888263245 11021221192 13776526490 15154179139 22042442384 27553052980 30308358278 55106105960 60616716556 75770895695 110212211920 121233433112 151541791390 242466866224 303083582780 606167165560 1212334331120