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12212201011200 = 21135279506517
BaseRepresentation
bin1011000110110101111111…
…1001110011100000000000
31121020110211021201101011120
42301231133321303200000
53100041041424324300
641550112510112240
72400205503601521
oct261553771634000
947213737641146
1012212201011200
113989190110333
1214529814ab680
136a77b46c2bc8
14303106284848
15162a025be3a0
hexb1b5fe73800

12212201011200 has 144 divisors (see below), whose sum is σ = 40371819710040. Its totient is φ = 3256586895360.

The previous prime is 12212201011147. The next prime is 12212201011249. The reversal of 12212201011200 is 211010221221.

12212201011200 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12212201011200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39599659 + ... + 39906858.

Almost surely, 212212201011200 is an apocalyptic number.

12212201011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212201011200 is an abundant number, since it is smaller than the sum of its proper divisors (28159618698840).

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

12212201011200 is an equidigital number, since it uses as much as digits as its factorization.

12212201011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79506552 (or 79506527 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12212201011200 its reverse (211010221221), we get a palindrome (12423211232421).

The spelling of 12212201011200 in words is "twelve trillion, two hundred twelve billion, two hundred one million, eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1024 1200 1280 1536 1600 1920 2048 2400 2560 3072 3200 3840 4800 5120 6144 6400 7680 9600 10240 12800 15360 19200 25600 30720 38400 51200 76800 153600 79506517 159013034 238519551 318026068 397532585 477039102 636052136 795065170 954078204 1192597755 1272104272 1590130340 1908156408 1987662925 2385195510 2544208544 3180260680 3816312816 3975325850 4770391020 5088417088 5962988775 6360521360 7632625632 7950651700 9540782040 10176834176 11925977550 12721042720 15265251264 15901303400 19081564080 20353668352 23851955100 25442085440 30530502528 31802606800 38163128160 40707336704 47703910200 50884170880 61061005056 63605213600 76326256320 81414673408 95407820400 101768341760 122122010112 127210427200 152652512640 162829346816 190815640800 203536683520 244244020224 254420854400 305305025280 381631281600 407073367040 488488040448 508841708800 610610050560 763262563200 814146734080 1017683417600 1221220101120 1526525126400 2035366835200 2442440202240 3053050252800 4070733670400 6106100505600 12212201011200