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202020112222120 = 235295912772311499
BaseRepresentation
bin101101111011110001111001…
…000001101100011110101000
3222111021221012222011122121001
4231323301321001230132220
5202434344142212101440
61553354431445124344
760360320465014633
oct5573617101543650
9874257188148531
10202020112222120
1159408280772305
121a7a8a269b96b4
1388955515307aa
1437c5b7b64cc1a
151855017aa3b9a
hexb7bc7906c7a8

202020112222120 has 128 divisors (see below), whose sum is σ = 478563714000000. Its totient is φ = 76639066104832.

The previous prime is 202020112222111. The next prime is 202020112222129. The reversal of 202020112222120 is 21222211020202.

It is an interprime number because it is at equal distance from previous prime (202020112222111) and next prime (202020112222129).

It is not an unprimeable number, because it can be changed into a prime (202020112222129) 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, 86242131 + ... + 88553629.

It is an arithmetic number, because the mean of its divisors is an integer number (3738779015625).

Almost surely, 2202020112222120 is an apocalyptic number.

202020112222120 is a gapful number since it is divisible by the number (20) 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 202020112222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239281857000000).

202020112222120 is an abundant number, since it is smaller than the sum of its proper divisors (276543601777880).

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

202020112222120 is a wasteful number, since it uses less digits than its factorization.

202020112222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312875 (or 2312871 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 202020112222120 its reverse (21222211020202), we get a palindrome (223242323242322).

The spelling of 202020112222120 in words is "two hundred two trillion, twenty billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 59 116 118 145 232 236 290 295 472 580 590 1160 1180 1277 1711 2360 2554 3422 5108 6385 6844 8555 10216 12770 13688 17110 25540 34220 37033 51080 68440 74066 75343 148132 150686 185165 296264 301372 370330 376715 602744 740660 753430 1481320 1506860 2184947 2311499 3013720 4369894 4622998 8739788 9245996 10924735 11557495 17479576 18491992 21849470 23114990 43698940 46229980 67033471 87397880 92459960 134066942 136378441 268133884 272756882 335167355 536267768 545513764 670334710 681892205 1091027528 1340669420 1363784410 2681338840 2727568820 2951784223 3954974789 5455137640 5903568446 7909949578 11807136892 14758921115 15819899156 19774873945 23614273784 29517842230 31639798312 39549747890 59035684460 79099495780 85601742467 118071368920 158198991560 171203484934 174155269157 342406969868 348310538314 428008712335 684813939736 696621076628 856017424670 870776345785 1393242153256 1712034849340 1741552691570 3424069698680 3483105383140 5050502805553 6966210766280 10101005611106 20202011222212 25252514027765 40404022444424 50505028055530 101010056111060 202020112222120