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12122011131312 = 243461547813229
BaseRepresentation
bin1011000001100110000000…
…1010101101110110110000
31120220212000210112202210210
42300121200022231312300
53042101334322200222
641440435224024120
72360533510350345
oct260314012556660
946825023482723
1012122011131312
113953a09299715
1214393b1002040
1369c14044aa84
142dc9cc07a7cc
151604c4736d0c
hexb06602addb0

12122011131312 has 40 divisors (see below), whose sum is σ = 31383124320240. Its totient is φ = 4031905358080.

The previous prime is 12122011131271. The next prime is 12122011131317. The reversal of 12122011131312 is 21313111022121.

It is not an unprimeable number, because it can be changed into a prime (12122011131317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273884487 + ... + 273928742.

It is an arithmetic number, because the mean of its divisors is an integer number (784578108006).

Almost surely, 212122011131312 is an apocalyptic number.

12122011131312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122011131312 is an abundant number, since it is smaller than the sum of its proper divisors (19261113188928).

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

12122011131312 is a wasteful number, since it uses less digits than its factorization.

12122011131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547813701 (or 547813695 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 12122011131312 its reverse (21313111022121), we get a palindrome (33435122153433).

The spelling of 12122011131312 in words is "twelve trillion, one hundred twenty-two billion, eleven million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 461 922 1383 1844 2766 3688 5532 7376 11064 22128 547813229 1095626458 1643439687 2191252916 3286879374 4382505832 6573758748 8765011664 13147517496 26295034992 252541898569 505083797138 757625695707 1010167594276 1515251391414 2020335188552 3030502782828 4040670377104 6061005565656 12122011131312