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211212220120 = 235114577331433
BaseRepresentation
bin1100010010110100111…
…0101011011011011000
3202012011202001111000021
43010231032223123120
511430030312020440
6241010214520224
721155015151256
oct3045516533330
9665152044007
10211212220120
1181635879120
1234b26666074
1316bc01bc055
14a3192355d6
15576298384a
hex312d3ab6d8

211212220120 has 128 divisors (see below), whose sum is σ = 520636299840. Its totient is φ = 76478423040.

The previous prime is 211212220099. The next prime is 211212220133. The reversal of 211212220120 is 21022212112.

It is a happy number.

It is a super-2 number, since 2×2112122201202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211212220094 and 211212220103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147390924 + ... + 147392356.

Almost surely, 2211212220120 is an apocalyptic number.

211212220120 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 211212220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260318149920).

211212220120 is an abundant number, since it is smaller than the sum of its proper divisors (309424079720).

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

211212220120 is a wasteful number, since it uses less digits than its factorization.

211212220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211212220120 its reverse (21022212112), we get a palindrome (232234432232).

The spelling of 211212220120 in words is "two hundred eleven billion, two hundred twelve million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 457 733 914 1433 1466 1828 2285 2866 2932 3656 3665 4570 5027 5732 5864 7165 7330 8063 9140 10054 11464 14330 14660 15763 16126 18280 20108 25135 28660 29320 31526 32252 40216 40315 50270 57320 63052 64504 78815 80630 100540 126104 157630 161260 201080 315260 322520 334981 630520 654881 669962 1050389 1309762 1339924 1674905 2100778 2619524 2679848 3274405 3349810 3684791 4201556 5239048 5251945 6548810 6699620 7203691 7369582 8403112 10503890 11554279 13097620 13399240 14407382 14739164 18423955 21007780 23108558 26195240 28814764 29478328 36018455 36847910 42015560 46217116 57629528 57771395 72036910 73695820 92434232 115542790 144073820 147391640 231085580 288147640 462171160 480027773 960055546 1920111092 2400138865 3840222184 4800277730 5280305503 9600555460 10560611006 19201110920 21121222012 26401527515 42242444024 52803055030 105606110060 211212220120