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1333212421212 = 2232723631364537
BaseRepresentation
bin10011011001101001101…
…001110001110001011100
311201110020212101021001200
4103121221221301301130
5133320404334434322
62500245213035500
7165215150412630
oct23315151616134
94643225337050
101333212421212
11474459722891
12196476185b90
139894bb89999
14487564d2dc0
1524a2eaa28ac
hex13669a71c5c

1333212421212 has 144 divisors (see below), whose sum is σ = 4025339415552. Its totient is φ = 363777765120.

The previous prime is 1333212421201. The next prime is 1333212421213. The reversal of 1333212421212 is 2121242123331.

1333212421212 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 21 + 2 + 421 + 212 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333212421213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3475008 + ... + 3839544.

Almost surely, 21333212421212 is an apocalyptic number.

1333212421212 is a gapful number since it is divisible by the number (12) 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 1333212421212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012669707776).

1333212421212 is an abundant number, since it is smaller than the sum of its proper divisors (2692126994340).

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

1333212421212 is a wasteful number, since it uses less digits than its factorization.

1333212421212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365208 (or 365203 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 1333212421212 its reverse (2121242123331), we get a palindrome (3454454544543).

The spelling of 1333212421212 in words is "one trillion, three hundred thirty-three billion, two hundred twelve million, four hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 631 644 828 966 1262 1449 1893 1932 2524 2898 3786 4417 5679 5796 7572 8834 11358 13251 14513 17668 22716 26502 29026 39753 43539 53004 58052 79506 87078 101591 130617 159012 174156 203182 261234 304773 364537 406364 522468 609546 729074 914319 1093611 1219092 1458148 1828638 2187222 2551759 3280833 3657276 4374444 5103518 6561666 7655277 8384351 10207036 13123332 15310554 16768702 22965831 25153053 30621108 33537404 45931662 50306106 58690457 75459159 91863324 100612212 117380914 150918318 176071371 230022847 234761828 301836636 352142742 460045694 528214113 690068541 704285484 920091388 1056428226 1380137082 1610159929 2070205623 2112856452 2760274164 3220319858 4140411246 4830479787 5290525481 6440639716 8280822492 9660959574 10581050962 14491439361 15871576443 19321919148 21162101924 28982878722 31743152886 37033678367 47614729329 57965757444 63486305772 74067356734 95229458658 111101035101 148134713468 190458917316 222202070202 333303105303 444404140404 666606210606 1333212421212