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212220111202112 = 26138327539111593
BaseRepresentation
bin110000010000001101011000…
…010101111010011101000000
31000211102001012102202202201202
4300100031120111322131000
5210304003241431431422
62031204323450320332
762462253122560406
oct6020153025723500
91024361172682652
10212220111202112
1161690053230142
121b975819a290a8
13915536970bb10
143a59718675476
1519804ead18b92
hexc1035857a740

212220111202112 has 112 divisors (see below), whose sum is σ = 459003316403520. Its totient is φ = 96763269378048.

The previous prime is 212220111202067. The next prime is 212220111202129. The reversal of 212220111202112 is 211202111022212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1901677388 + ... + 1901788980.

It is an arithmetic number, because the mean of its divisors is an integer number (4098243896460).

Almost surely, 2212220111202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212220111202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229501658201760).

212220111202112 is an abundant number, since it is smaller than the sum of its proper divisors (246783205201408).

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

212220111202112 is a wasteful number, since it uses less digits than its factorization.

212220111202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139240 (or 139230 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212220111202112 its reverse (211202111022212), we get a palindrome (423422222224324).

The spelling of 212220111202112 in words is "two hundred twelve trillion, two hundred twenty billion, one hundred eleven million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 83 104 166 208 332 416 664 832 1079 1328 2158 2656 4316 5312 8632 17264 27539 34528 55078 69056 110156 111593 220312 223186 358007 440624 446372 716014 881248 892744 1432028 1450709 1762496 1785488 2285737 2864056 2901418 3570976 4571474 5728112 5802836 7141952 9142948 9262219 11456224 11605672 18285896 18524438 22912448 23211344 29714581 36571792 37048876 46422688 59429162 73143584 74097752 92845376 118858324 120408847 146287168 148195504 237716648 240817694 296391008 475433296 481635388 592782016 950866592 963270776 1901733184 1926541552 3073159627 3853083104 6146319254 7706166208 12292638508 24585277016 39951075151 49170554032 79902150302 98341108064 159804300604 196682216128 255072249041 319608601208 510144498082 639217202416 1020288996164 1278434404832 2040577992328 2556868809664 3315939237533 4081155984656 6631878475066 8162311969312 13263756950132 16324623938624 26527513900264 53055027800528 106110055601056 212220111202112