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2120211220200 = 2335210333420799
BaseRepresentation
bin11110110110100110011…
…011111100011011101000
321111200122011110120002220
4132312212123330123220
5234214143033021300
64302002300354040
7306115545005553
oct36664633743350
97450564416086
102120211220200
117481a3a61857
122a2ab2545920
13124c20433ab8
1474893c9969a
153a2417a6da0
hex1eda66fc6e8

2120211220200 has 96 divisors (see below), whose sum is σ = 6579019392000. Its totient is φ = 564842165760.

The previous prime is 2120211220177. The next prime is 2120211220223. The reversal of 2120211220200 is 20221120212.

It is an interprime number because it is at equal distance from previous prime (2120211220177) and next prime (2120211220223).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2120211220200.

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, 1090600 + ... + 2330199.

It is an arithmetic number, because the mean of its divisors is an integer number (68531452000).

Almost surely, 22120211220200 is an apocalyptic number.

2120211220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120211220200 is an abundant number, since it is smaller than the sum of its proper divisors (4458808171800).

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

2120211220200 is a wasteful number, since it uses less digits than its factorization.

2120211220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421851 (or 3421842 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2120211220200 its reverse (20221120212), we get a palindrome (2140432340412).

The spelling of 2120211220200 in words is "two trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1033 2066 3099 4132 5165 6198 8264 10330 12396 15495 20660 24792 25825 30990 41320 51650 61980 77475 103300 123960 154950 206600 309900 619800 3420799 6841598 10262397 13683196 17103995 20524794 27366392 34207990 41049588 51311985 68415980 82099176 85519975 102623970 136831960 171039950 205247940 256559925 342079900 410495880 513119850 684159800 1026239700 2052479400 3533685367 7067370734 10601056101 14134741468 17668426835 21202112202 28269482936 35336853670 42404224404 53005280505 70673707340 84808448808 88342134175 106010561010 141347414680 176684268350 212021122020 265026402525 353368536700 424042244040 530052805050 706737073400 1060105610100 2120211220200