Search a number
-
+
12110211201000 = 2335311366976097
BaseRepresentation
bin1011000000111010000011…
…0101100011011111101000
31120212201120102220012110210
42300032200311203133220
53041403203031413000
641431204302341120
72356635215531223
oct260164065433750
946781512805423
1012110211201000
113949a035683a0
12143705928a7a0
1369acac8961a3
142dc1ccc5c5ba
15160033836350
hexb03a0d637e8

12110211201000 has 128 divisors (see below), whose sum is σ = 41218755327360. Its totient is φ = 2935808768000.

The previous prime is 12110211200993. The next prime is 12110211201007. The reversal of 12110211201000 is 10211201121.

It is an interprime number because it is at equal distance from previous prime (12110211200993) and next prime (12110211201007).

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

It is not an unprimeable number, because it can be changed into a prime (12110211201007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183455049 + ... + 183521048.

It is an arithmetic number, because the mean of its divisors is an integer number (322021525995).

Almost surely, 212110211201000 is an apocalyptic number.

12110211201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110211201000 is an abundant number, since it is smaller than the sum of its proper divisors (29108544126360).

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

12110211201000 is a wasteful number, since it uses less digits than its factorization.

12110211201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366976132 (or 366976118 counting only the distinct ones).

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

Adding to 12110211201000 its reverse (10211201121), we get a palindrome (12120422402121).

The spelling of 12110211201000 in words is "twelve trillion, one hundred ten billion, two hundred eleven million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 366976097 733952194 1100928291 1467904388 1834880485 2201856582 2935808776 3669760970 4036737067 4403713164 5504641455 7339521940 8073474134 8807426328 9174402425 11009282910 12110211201 14679043880 16146948268 18348804850 20183685335 22018565820 24220422402 27523207275 32293896536 36697609700 40367370670 44037131640 45872012125 48440844804 55046414550 60551056005 73395219400 80734741340 91744024250 96881689608 100918426675 110092829100 121102112010 137616036375 161469482680 183488048500 201836853350 220185658200 242204224020 275232072750 302755280025 366976097000 403673706700 484408448040 504592133375 550464145500 605510560050 807347413400 1009184266750 1100928291000 1211021120100 1513776400125 2018368533500 2422042240200 3027552800250 4036737067000 6055105600500 12110211201000