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12200011332 = 22337412712473
BaseRepresentation
bin10110101110010110…
…10110011001000100
31011111020110210022120
423113023112121010
5144441200330312
65334332325540
7611220246105
oct132713263104
934436423276
1012200011332
1151a06520a3
1224459138b0
1311c5724022
1483a4043ac
154b60cd28c
hex2d72d6644

12200011332 has 96 divisors (see below), whose sum is σ = 30071806464. Its totient is φ = 3844454400.

The previous prime is 12200011319. The next prime is 12200011409. The reversal of 12200011332 is 23311000221.

12200011332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 4932048 + ... + 4934520.

It is an arithmetic number, because the mean of its divisors is an integer number (313247984).

Almost surely, 212200011332 is an apocalyptic number.

12200011332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12200011332 is an abundant number, since it is smaller than the sum of its proper divisors (17871795132).

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

12200011332 is a wasteful number, since it uses less digits than its factorization.

12200011332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12200011332 its reverse (23311000221), we get a palindrome (35511011553).

The spelling of 12200011332 in words is "twelve billion, two hundred million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 41 74 82 111 123 148 164 222 246 271 444 492 542 813 1084 1517 1626 2473 3034 3252 4551 4946 6068 7419 9102 9892 10027 11111 14838 18204 20054 22222 29676 30081 33333 40108 44444 60162 66666 91501 101393 120324 133332 183002 202786 274503 304179 366004 405572 411107 549006 608358 670183 822214 1098012 1216716 1233321 1340366 1644428 2010549 2466642 2680732 3751541 4021098 4933284 7503082 8042196 11254623 15006164 22509246 24796771 27477503 45018492 49593542 54955006 74390313 82432509 99187084 109910012 148780626 164865018 297561252 329730036 1016667611 2033335222 3050002833 4066670444 6100005666 12200011332