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212112121340 = 225719157507907
BaseRepresentation
bin1100010110001011011…
…1100001110111111100
3202021111110101012102002
43011202313201313330
511433401200340330
6241235402521432
721216223166060
oct3054267416774
9667443335362
10212112121340
1181a57843239
1235137b06278
131700477c792
14a3a2967aa0
1557b6990e45
hex3162de1dfc

212112121340 has 96 divisors (see below), whose sum is σ = 539276398080. Its totient is φ = 68457602304.

The previous prime is 212112121337. The next prime is 212112121363. The reversal of 212112121340 is 43121211212.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 163667 + ... + 671573.

It is an arithmetic number, because the mean of its divisors is an integer number (5617462480).

Almost surely, 2212112121340 is an apocalyptic number.

212112121340 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 212112121340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269638199040).

212112121340 is an abundant number, since it is smaller than the sum of its proper divisors (327164276740).

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

212112121340 is a wasteful number, since it uses less digits than its factorization.

212112121340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508099 (or 508097 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 212112121340 its reverse (43121211212), we get a palindrome (255233332552).

The spelling of 212112121340 in words is "two hundred twelve billion, one hundred twelve million, one hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 157 190 266 314 380 532 628 665 785 1099 1330 1570 2198 2660 2983 3140 4396 5495 5966 10990 11932 14915 20881 21980 29830 41762 59660 83524 104405 208810 417620 507907 1015814 2031628 2539535 3555349 5079070 7110698 9650233 10158140 14221396 17776745 19300466 35553490 38600932 48251165 67551631 71106980 79741399 96502330 135103262 159482798 193004660 270206524 318965596 337758155 398706995 558189793 675516310 797413990 1116379586 1351032620 1515086581 1594827980 2232759172 2790948965 3030173162 5581897930 6060346324 7575432905 10605606067 11163795860 15150865810 21211212134 30301731620 42422424268 53028030335 106056060670 212112121340