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12111230133200 = 2452117043390821
BaseRepresentation
bin1011000000111101110110…
…0100011110001111010000
31120212211012110012022200102
42300033131210132033100
53041412244403230300
641431453341511532
72360002400363102
oct260173544361720
946784173168612
1012111230133200
11394a386742220
1214372a25725a8
1369b112a01753
142dc2882d7572
151600930070d5
hexb03dd91e3d0

12111230133200 has 120 divisors (see below), whose sum is σ = 31747021337376. Its totient is φ = 4403447104000.

The previous prime is 12111230133199. The next prime is 12111230133221. The reversal of 12111230133200 is 233103211121.

It is a happy number.

12111230133200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30793790 + ... + 31184610.

Almost surely, 212111230133200 is an apocalyptic number.

12111230133200 is a gapful number since it is divisible by the number (10) 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 12111230133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15873510668688).

12111230133200 is an abundant number, since it is smaller than the sum of its proper divisors (19635791204176).

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

12111230133200 is a wasteful number, since it uses less digits than its factorization.

12111230133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397893 (or 397882 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12111230133200 its reverse (233103211121), we get a palindrome (12344333344321).

The spelling of 12111230133200 in words is "twelve trillion, one hundred eleven billion, two hundred thirty million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 7043 14086 28172 35215 56344 70430 77473 112688 140860 154946 176075 281720 309892 352150 387365 390821 563440 619784 704300 774730 781642 1239568 1408600 1549460 1563284 1936825 1954105 2817200 3098920 3126568 3873650 3908210 4299031 6197840 6253136 7747300 7816420 8598062 9770525 15494600 15632840 17196124 19541050 21495155 30989200 31265680 34392248 39082100 42990310 68784496 78164200 85980620 107475775 156328400 171961240 214951550 343922480 429903100 859806200 1719612400 2752552303 5505104606 11010209212 13762761515 22020418424 27525523030 30278075333 44040836848 55051046060 60556150666 68813807575 110102092120 121112301332 137627615150 151390376665 220204184240 242224602664 275255230300 302780753330 484449205328 550510460600 605561506660 756951883325 1101020921200 1211123013320 1513903766650 2422246026640 3027807533300 6055615066600 12111230133200