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212020221220002 = 233131392399091331
BaseRepresentation
bin110000001101010011001101…
…111110001001010010100010
31000210200221020202111120102000
4300031103031332021102202
5210242214403113020002
62030532424530304430
762441645506011306
oct6015231576112242
91023627222446360
10212020221220002
11616132a8583018
121b942b33128116
13913c5621301b0
143a4db95031d06
15197a1ec37761c
hexc0d4cdf894a2

212020221220002 has 128 divisors (see below), whose sum is σ = 513187508736000. Its totient is φ = 64496658784320.

The previous prime is 212020221219973. The next prime is 212020221220033. The reversal of 212020221220002 is 200022122020212.

212020221220002 is a `hidden beast` number, since 21 + 202 + 0 + 221 + 220 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18775477 + ... + 27866807.

It is an arithmetic number, because the mean of its divisors is an integer number (4009277412000).

Almost surely, 2212020221220002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212020221220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256593754368000).

212020221220002 is an abundant number, since it is smaller than the sum of its proper divisors (301167287515998).

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

212020221220002 is a wasteful number, since it uses less digits than its factorization.

212020221220002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9091733 (or 9091727 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212020221220002 its reverse (200022122020212), we get a palindrome (412042343240214).

The spelling of 212020221220002 in words is "two hundred twelve trillion, twenty billion, two hundred twenty-one million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 139 234 239 278 351 417 478 702 717 834 1251 1434 1807 2151 2502 3107 3614 3753 4302 5421 6214 6453 7506 9321 10842 12906 16263 18642 27963 32526 33221 48789 55926 66442 83889 97578 99663 167778 199326 298989 431873 597978 863746 896967 1295619 1793934 2591238 3886857 7773714 9091331 11660571 18182662 23321142 27273993 54547986 81821979 118187303 163643958 236374606 245465937 354561909 490931874 709123818 1063685727 1263695009 2127371454 2172828109 2527390018 3191057181 3791085027 4345656218 6382114362 6518484327 7582170054 11373255081 13036968654 16428035117 19555452981 22746510162 28246765417 32856070234 34119765243 39110905962 49284105351 56493530834 58666358943 68239530486 84740296251 98568210702 117332717886 147852316053 169480592502 254220888753 295704632106 302023107151 443556948159 508441777506 604046214302 762662666259 887113896318 906069321453 1525325332518 1812138642906 2718207964359 3926300392963 5436415928718 7852600785926 8154623893077 11778901178889 16309247786154 23557802357778 35336703536667 70673407073334 106010110610001 212020221220002