Search a number
-
+
120211202000 = 2453235944293
BaseRepresentation
bin110111111110100100…
…1010101111111010000
3102111021201120210011202
41233331021111333100
53432143031431000
6131120235130332
711453642233451
oct1577511257720
9374251523152
10120211202000
1146a880a932a
121b36a5a39a8
13b449b94376
145b65403128
1531d87c3dd5
hex1bfd255fd0

120211202000 has 160 divisors (see below), whose sum is σ = 308456328960. Its totient is φ = 45213273600.

The previous prime is 120211201997. The next prime is 120211202029. The reversal of 120211202000 is 202112021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2691854 + ... + 2736146.

It is an arithmetic number, because the mean of its divisors is an integer number (1927852056).

Almost surely, 2120211202000 is an apocalyptic number.

120211202000 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 120211202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154228164480).

120211202000 is an abundant number, since it is smaller than the sum of its proper divisors (188245126960).

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

120211202000 is a wasteful number, since it uses less digits than its factorization.

120211202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44398 (or 44382 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120211202000 its reverse (202112021), we get a palindrome (120413314021).

The spelling of 120211202000 in words is "one hundred twenty billion, two hundred eleven million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 59 80 92 100 115 118 125 184 200 230 236 250 295 368 400 460 472 500 575 590 920 944 1000 1150 1180 1357 1475 1840 2000 2300 2360 2714 2875 2950 4600 4720 5428 5750 5900 6785 7375 9200 10856 11500 11800 13570 14750 21712 23000 23600 27140 29500 33925 44293 46000 54280 59000 67850 88586 108560 118000 135700 169625 177172 221465 271400 339250 354344 442930 542800 678500 708688 885860 1018739 1107325 1357000 1771720 2037478 2214650 2613287 2714000 3543440 4074956 4429300 5093695 5226574 5536625 8149912 8858600 10187390 10453148 11073250 13066435 16299824 17717200 20374780 20906296 22146500 25468475 26132870 40749560 41812592 44293000 50936950 52265740 60105601 65332175 81499120 88586000 101873900 104531480 120211202 127342375 130664350 203747800 209062960 240422404 254684750 261328700 300528005 326660875 407495600 480844808 509369500 522657400 601056010 653321750 961689616 1018739000 1045314800 1202112020 1306643500 1502640025 2037478000 2404224040 2613287000 3005280050 4808448080 5226574000 6010560100 7513200125 12021120200 15026400250 24042240400 30052800500 60105601000 120211202000