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12101212031100 = 22352612003330139
BaseRepresentation
bin1011000000011000100001…
…1100011100100001111100
31120211212100021101000010220
42300012020130130201330
53041231240234443400
641423115311101340
72356166213045253
oct260061034344174
946755307330126
1012101212031100
1139461057938a5
121435367511850
1369a1a734699a
142db9b79c179a
1515eba87707a0
hexb018871c87c

12101212031100 has 144 divisors (see below), whose sum is σ = 35604695736960. Its totient is φ = 3172494124800.

The previous prime is 12101212031089. The next prime is 12101212031107. The reversal of 12101212031100 is 113021210121.

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 12101212031100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101212031107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36489831 + ... + 36819969.

Almost surely, 212101212031100 is an apocalyptic number.

12101212031100 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 12101212031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17802347868480).

12101212031100 is an abundant number, since it is smaller than the sum of its proper divisors (23503483705860).

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

12101212031100 is a wasteful number, since it uses less digits than its factorization.

12101212031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332220 (or 332213 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12101212031100 its reverse (113021210121), we get a palindrome (12214233241221).

The spelling of 12101212031100 in words is "twelve trillion, one hundred one billion, two hundred twelve million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 2003 3050 3660 4006 4575 6009 6100 8012 9150 10015 12018 18300 20030 24036 30045 40060 50075 60090 100150 120180 122183 150225 200300 244366 300450 330139 366549 488732 600900 610915 660278 733098 990417 1221830 1320556 1466196 1650695 1832745 1980834 2443660 3054575 3301390 3665490 3961668 4952085 6109150 6602780 7330980 8253475 9163725 9904170 12218300 16506950 18327450 19808340 20138479 24760425 33013900 36654900 40276958 49520850 60415437 80553916 99041700 100692395 120830874 201384790 241661748 302077185 402769580 503461975 604154370 661268417 1006923950 1208308740 1322536834 1510385925 1983805251 2013847900 2645073668 3020771850 3306342085 3967610502 6041543700 6612684170 7935221004 9919026255 13225368340 16531710425 19838052510 33063420850 39676105020 40337373437 49595131275 66126841700 80674746874 99190262550 121012120311 161349493748 198380525100 201686867185 242024240622 403373734370 484048481244 605060601555 806747468740 1008434335925 1210121203110 2016868671850 2420242406220 3025303007775 4033737343700 6050606015550 12101212031100