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1333200121312 = 25438372716057
BaseRepresentation
bin10011011001101000111…
…010110110110111100000
311201110020000020100202211
4103121220322312313200
5133320343212340222
62500244053251504
7165214641024103
oct23315072666740
94643200210684
101333200121312
11474452791784
12196472033b94
1398949471337
1448754a1073a
1524a2d973277
hex13668eb6de0

1333200121312 has 96 divisors (see below), whose sum is σ = 2722045277952. Its totient is φ = 642328372224.

The previous prime is 1333200121271. The next prime is 1333200121313. The reversal of 1333200121312 is 2131210023331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333200121313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83021188 + ... + 83037244.

It is an arithmetic number, because the mean of its divisors is an integer number (28354638312).

Almost surely, 21333200121312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1333200121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361022638976).

1333200121312 is an abundant number, since it is smaller than the sum of its proper divisors (1388845156640).

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

1333200121312 is a wasteful number, since it uses less digits than its factorization.

1333200121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16920 (or 16912 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1333200121312 its reverse (2131210023331), we get a palindrome (3464410144643).

The spelling of 1333200121312 in words is "one trillion, three hundred thirty-three billion, two hundred million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 43 83 86 166 172 332 344 664 688 727 1328 1376 1454 2656 2908 3569 5816 7138 11632 14276 16057 23264 28552 31261 32114 57104 60341 62522 64228 114208 120682 125044 128456 241364 250088 256912 482728 500176 513824 690451 965456 1000352 1332731 1380902 1930912 2594663 2665462 2761804 5189326 5330924 5523608 10378652 10661848 11047216 11673439 20757304 21323696 22094432 23346878 41514608 42647392 46693756 57307433 83029216 93387512 114614866 186775024 229229732 373550048 458459464 501957877 916918928 968895437 1003915754 1833837856 1937790874 2007831508 3875581748 4015663016 7751163496 8031326032 15502326992 16062652064 31004653984 41662503791 83325007582 166650015164 333300030328 666600060656 1333200121312