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12102886491600 = 2435268314766821
BaseRepresentation
bin1011000000011110110001…
…0000000000010111010000
31120212000122222011102010110
42300013230100000113100
53041243202420212400
641423553404401320
72356255544530302
oct260075420002720
946760588142113
1012102886491600
1139468949a2853
121435754246240
1369a3b3220608
142dbad6139972
1515ec5577be50
hexb01ec4005d0

12102886491600 has 120 divisors (see below), whose sum is σ = 38826346017312. Its totient is φ = 3222710796800.

The previous prime is 12102886491589. The next prime is 12102886491629. The reversal of 12102886491600 is 619468820121.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×121028864916002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12102886491600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6563811 + ... + 8203010.

Almost surely, 212102886491600 is an apocalyptic number.

12102886491600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102886491600 is an abundant number, since it is smaller than the sum of its proper divisors (26723459525712).

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

12102886491600 is a wasteful number, since it uses less digits than its factorization.

12102886491600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14767525 (or 14767514 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 12102886491600 in words is "twelve trillion, one hundred two billion, eight hundred eighty-six million, four hundred ninety-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 683 1200 1366 2049 2732 3415 4098 5464 6830 8196 10245 10928 13660 16392 17075 20490 27320 32784 34150 40980 51225 54640 68300 81960 102450 136600 163920 204900 273200 409800 819600 14766821 29533642 44300463 59067284 73834105 88600926 118134568 147668210 177201852 221502315 236269136 295336420 354403704 369170525 443004630 590672840 708807408 738341050 886009260 1107511575 1181345680 1476682100 1772018520 2215023150 2953364200 3544037040 4430046300 5906728400 8860092600 10085738743 17720185200 20171477486 30257216229 40342954972 50428693715 60514432458 80685909944 100857387430 121028864916 151286081145 161371819888 201714774860 242057729832 252143468575 302572162290 403429549720 484115459664 504286937150 605144324580 756430405725 806859099440 1008573874300 1210288649160 1512860811450 2017147748600 2420577298320 3025721622900 4034295497200 6051443245800 12102886491600