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12102200111100 = 223521133111079557
BaseRepresentation
bin1011000000011100001101…
…0101101010111111111100
31120211221220010121200002110
42300013003111222333330
53041240301212023400
641423401325054020
72356232541432051
oct260070325527774
946757803550073
1012102200111100
113946572505a40
1214355a23b7310
1369a303c6c3c8
142dba6cd09028
1515ec15399e50
hexb01c356affc

12102200111100 has 144 divisors (see below), whose sum is σ = 38314352474496. Its totient is φ = 2925002784000.

The previous prime is 12102200111087. The next prime is 12102200111129. The reversal of 12102200111100 is 111100220121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4447479 + ... + 6632078.

It is an arithmetic number, because the mean of its divisors is an integer number (266071892184).

Almost surely, 212102200111100 is an apocalyptic number.

12102200111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102200111100 is an abundant number, since it is smaller than the sum of its proper divisors (26212152363396).

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

12102200111100 is a wasteful number, since it uses less digits than its factorization.

12102200111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11079916 (or 11079909 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12102200111100 its reverse (111100220121), we get a palindrome (12213300331221).

The spelling of 12102200111100 in words is "twelve trillion, one hundred two billion, two hundred million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 331 550 660 662 825 993 1100 1324 1650 1655 1986 3300 3310 3641 3972 4965 6620 7282 8275 9930 10923 14564 16550 18205 19860 21846 24825 33100 36410 43692 49650 54615 72820 91025 99300 109230 182050 218460 273075 364100 546150 1092300 11079557 22159114 33238671 44318228 55397785 66477342 110795570 121875127 132954684 166193355 221591140 243750254 276988925 332386710 365625381 487500508 553977850 609375635 664773420 731250762 830966775 1107955700 1218751270 1462501524 1661933550 1828126905 2437502540 3046878175 3323867100 3656253810 3667333367 6093756350 7312507620 7334666734 9140634525 11002000101 12187512700 14669333468 18281269050 18336666835 22004000202 36562538100 36673333670 40340667037 44008000404 55010000505 73346667340 80681334074 91683334175 110020001010 121022001111 161362668148 183366668350 201703335185 220040002020 242044002222 275050002525 366733336700 403406670370 484088004444 550100005050 605110005555 806813340740 1008516675925 1100200010100 1210220011110 2017033351850 2420440022220 3025550027775 4034066703700 6051100055550 12102200111100