Search a number
-
+
12133410451512 = 233772222681259
BaseRepresentation
bin1011000010010000011110…
…0111101011000000111000
31120221221110020101020101020
42300210013213223000320
53042243211033422022
641450002315022440
72361416136104130
oct260440747530070
946857406336336
1012133410451512
1139588289786a9
12143b65273aa20
136a023900945c
142dd38ddb5ac0
151609403a335c
hexb09079eb038

12133410451512 has 32 divisors (see below), whose sum is σ = 34666887004800. Its totient is φ = 3466688700384.

The previous prime is 12133410451493. The next prime is 12133410451523. The reversal of 12133410451512 is 21515401433121.

It is a super-3 number, since 3×121334104515123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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, 36111340462 + ... + 36111340797.

It is an arithmetic number, because the mean of its divisors is an integer number (1083340218900).

Almost surely, 212133410451512 is an apocalyptic number.

12133410451512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12133410451512 is an abundant number, since it is smaller than the sum of its proper divisors (22533476553288).

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

12133410451512 is a wasteful number, since it uses less digits than its factorization.

12133410451512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72222681275 (or 72222681271 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 12133410451512 its reverse (21515401433121), we get a palindrome (33648811884633).

The spelling of 12133410451512 in words is "twelve trillion, one hundred thirty-three billion, four hundred ten million, four hundred fifty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 72222681259 144445362518 216668043777 288890725036 433336087554 505558768813 577781450072 866672175108 1011117537626 1516676306439 1733344350216 2022235075252 3033352612878 4044470150504 6066705225756 12133410451512