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12199009900 = 225271115710091
BaseRepresentation
bin10110101110001111…
…00001111001101100
31011111011120220121111
423113013201321230
5144440421304100
65334255041404
7611205605350
oct132707417154
934434526544
1012199009900
1151a0028770
122445510264
1311c546326c
1483a223460
154b5e816ba
hex2d71e1e6c

12199009900 has 144 divisors (see below), whose sum is σ = 33217373952. Its totient is φ = 3777696000.

The previous prime is 12199009891. The next prime is 12199009931. The reversal of 12199009900 is 990099121.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1203855 + ... + 1213945.

It is an arithmetic number, because the mean of its divisors is an integer number (230676208).

Almost surely, 212199009900 is an apocalyptic number.

12199009900 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 12199009900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16608686976).

12199009900 is an abundant number, since it is smaller than the sum of its proper divisors (21018364052).

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

12199009900 is a wasteful number, since it uses less digits than its factorization.

12199009900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10280 (or 10273 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 40.

The spelling of 12199009900 in words is "twelve billion, one hundred ninety-nine million, nine thousand, nine hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 157 175 220 275 308 314 350 385 550 628 700 770 785 1099 1100 1540 1570 1727 1925 2198 3140 3454 3850 3925 4396 5495 6908 7700 7850 8635 10091 10990 12089 15700 17270 20182 21980 24178 27475 34540 40364 43175 48356 50455 54950 60445 70637 86350 100910 109900 111001 120890 141274 172700 201820 222002 241780 252275 282548 302225 353185 444004 504550 555005 604450 706370 777007 1009100 1110010 1208900 1412740 1554014 1584287 1765925 2220020 2775025 3108028 3168574 3531850 3885035 5550050 6337148 7063700 7770070 7921435 11090009 11100100 15540140 15842870 17427157 19425175 22180018 31685740 34854314 38850350 39607175 44360036 55450045 69708628 77700700 79214350 87135785 110900090 121990099 158428700 174271570 221800180 243980198 277250225 348543140 435678925 487960396 554500450 609950495 871357850 1109000900 1219900990 1742715700 2439801980 3049752475 6099504950 12199009900