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12300011121200 = 24521117761157393
BaseRepresentation
bin1011001011111101000111…
…0010110010101000110000
31121112212110220221010221212
42302333101302302220300
53103010410321334300
642054314101335252
72406434512324235
oct262772162625060
947485426833855
1012300011121200
113a12450687680
1214679a8a07528
136b2b6991348a
143074763b778c
15164e41579935
hexb2fd1cb2a30

12300011121200 has 120 divisors (see below), whose sum is σ = 32239230853296. Its totient is φ = 4472451072000.

The previous prime is 12300011121199. The next prime is 12300011121217. The reversal of 12300011121200 is 212111000321.

12300011121200 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78069704 + ... + 78227096.

Almost surely, 212300011121200 is an apocalyptic number.

12300011121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300011121200 is an abundant number, since it is smaller than the sum of its proper divisors (19939219732096).

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

12300011121200 is a wasteful number, since it uses less digits than its factorization.

12300011121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175183 (or 175172 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12300011121200 its reverse (212111000321), we get a palindrome (12512122121521).

The spelling of 12300011121200 in words is "twelve trillion, three hundred billion, eleven million, one hundred twenty-one 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 17761 35522 71044 88805 142088 157393 177610 195371 284176 314786 355220 390742 444025 629572 710440 781484 786965 888050 976855 1259144 1420880 1562968 1573930 1731323 1776100 1953710 2518288 3125936 3147860 3462646 3552200 3907420 3934825 4884275 6295720 6925292 7104400 7814840 7869650 8656615 9768550 12591440 13850584 15629680 15739300 17313230 19537100 27701168 31478600 34626460 39074200 43283075 62957200 69252920 78148400 86566150 138505840 173132300 346264600 692529200 2795457073 5590914146 11181828292 13977285365 22363656584 27954570730 30750027803 44727313168 55909141460 61500055606 69886426825 111818282920 123000111212 139772853650 153750139015 223636565840 246000222424 279545707300 307500278030 492000444848 559091414600 615000556060 768750695075 1118182829200 1230001112120 1537501390150 2460002224240 3075002780300 6150005560600 12300011121200