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12021212210100 = 22352371462174071
BaseRepresentation
bin1010111011101110100000…
…0101010110001110110100
31120120012211221121000200120
42232323220011112032310
53033423420311210400
641322245121211540
72350334562560442
oct256735005261664
946505757530616
1012021212210100
11391519299a255
12142195b790bb0
136927982754b2
142d7b88c91b92
1515ca752d9ca0
hexaeee81563b4

12021212210100 has 144 divisors (see below), whose sum is σ = 35724336579456. Its totient is φ = 3118761792000.

The previous prime is 12021212210089. The next prime is 12021212210149. The reversal of 12021212210100 is 101221212021.

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 12021212210100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162256065 + ... + 162330135.

Almost surely, 212021212210100 is an apocalyptic number.

12021212210100 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 12021212210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17862168289728).

12021212210100 is an abundant number, since it is smaller than the sum of its proper divisors (23703124369356).

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

12021212210100 is a wasteful number, since it uses less digits than its factorization.

12021212210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88746 (or 88739 counting only the distinct ones).

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

Adding to 12021212210100 its reverse (101221212021), we get a palindrome (12122433422121).

The spelling of 12021212210100 in words is "twelve trillion, twenty-one billion, two hundred twelve million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 14621 29242 43863 58484 73105 74071 87726 146210 148142 175452 219315 222213 292420 296284 365525 370355 438630 444426 540977 731050 740710 877260 888852 1081954 1096575 1111065 1462100 1481420 1622931 1851775 2163908 2193150 2222130 2704885 2740627 3245862 3703550 4386300 4444260 5409770 5481254 5555325 6491724 7407100 8114655 8221881 10819540 10962508 11110650 13524425 13703135 16229310 16443762 22221300 27048850 27406270 32458620 32887524 40573275 41109405 54097700 54812540 68515675 81146550 82218810 137031350 162293100 164437620 205547025 274062700 411094050 822188100 1082992091 2165984182 3248976273 4331968364 5414960455 6497952546 10829920910 12995905092 16244881365 21659841820 27074802275 32489762730 40070707367 54149604550 64979525460 80141414734 81224406825 108299209100 120212122101 160282829468 162448813650 200353536835 240424244202 324897627300 400707073670 480848488404 601060610505 801414147340 1001767684175 1202121221010 2003535368350 2404242442020 3005303052525 4007070736700 6010606105050 12021212210100