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201000120122120 = 235112049312229133
BaseRepresentation
bin101101101100111011111100…
…110000100111101100001000
3222100200102102222002022121212
4231230323330300213230020
5202321141221222401440
61551254102550352252
760223531232144024
oct5554737460475410
9870612388068555
10201000120122120
1159054743823820
121a66320565b688
1388202cb3c50a7
14378c659db9384
15183871b132465
hexb6cefcc27b08

201000120122120 has 64 divisors (see below), whose sum is σ = 493366559999040. Its totient is φ = 73090563321600.

The previous prime is 201000120122093. The next prime is 201000120122147. The reversal of 201000120122120 is 21221021000102.

It is an interprime number because it is at equal distance from previous prime (201000120122093) and next prime (201000120122147).

It is a junction number, because it is equal to n+sod(n) for n = 201000120122095 and 201000120122104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89055074 + ... + 91284206.

It is an arithmetic number, because the mean of its divisors is an integer number (7708852499985).

Almost surely, 2201000120122120 is an apocalyptic number.

201000120122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000120122120 is an abundant number, since it is smaller than the sum of its proper divisors (292366439876920).

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

201000120122120 is a wasteful number, since it uses less digits than its factorization.

201000120122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434086 (or 2434082 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201000120122120 its reverse (21221021000102), we get a palindrome (222221141122222).

The spelling of 201000120122120 in words is "two hundred one trillion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 204931 409862 819724 1024655 1639448 2049310 2229133 2254241 4098620 4458266 4508482 8197240 8916532 9016964 11145665 11271205 17833064 18033928 22291330 22542410 24520463 44582660 45084820 49040926 89165320 90169640 98081852 122602315 196163704 245204630 490409260 980818520 456818454823 913636909646 1827273819292 2284092274115 3654547638584 4568184548230 5025003003053 9136369096460 10050006006106 18272738192920 20100012012212 25125015015265 40200024024424 50250030030530 100500060061060 201000120122120