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12111311100 = 2235277277933
BaseRepresentation
bin10110100011110001…
…11111000011111100
31011021001120100110210
423101320333003330
5144300443423400
65321443232420
7606062305620
oct132170770374
934231510423
1012111311100
115155579319
122420078710
1311b0238895
1482c715180
154ad40b950
hex2d1e3f0fc

12111311100 has 144 divisors (see below), whose sum is σ = 40108210688. Its totient is φ = 2764143360.

The previous prime is 12111311099. The next prime is 12111311131. The reversal of 12111311100 is 111311121.

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, 1522734 + ... + 1530666.

Almost surely, 212111311100 is an apocalyptic number.

12111311100 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 12111311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20054105344).

12111311100 is an abundant number, since it is smaller than the sum of its proper divisors (27996899588).

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

12111311100 is a wasteful number, since it uses less digits than its factorization.

12111311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8684 (or 8677 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 12111311100 its reverse (111311121), we get a palindrome (12222622221).

The spelling of 12111311100 in words is "twelve billion, one hundred eleven million, three hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 727 1050 1454 2100 2181 2908 3635 4362 5089 7270 7933 8724 10178 10905 14540 15267 15866 18175 20356 21810 23799 25445 30534 31732 36350 39665 43620 47598 50890 54525 55531 61068 72700 76335 79330 95196 101780 109050 111062 118995 127225 152670 158660 166593 198325 218100 222124 237990 254450 277655 305340 333186 381675 396650 475980 508900 555310 594975 666372 763350 793300 832965 1110620 1189950 1388275 1526700 1665930 2379900 2776550 3331860 4164825 5553100 5767291 8329650 11534582 16659300 17301873 23069164 28836455 34603746 40371037 57672910 69207492 80742074 86509365 115345820 121113111 144182275 161484148 173018730 201855185 242226222 288364550 346037460 403710370 432546825 484452444 576729100 605565555 807420740 865093650 1009275925 1211131110 1730187300 2018551850 2422262220 3027827775 4037103700 6055655550 12111311100