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22011212120212 = 2273159601715151
BaseRepresentation
bin1010000000100111000100…
…11110101100000010010100
32212221020210012220002002101
411000103202132230002110
510341112430300321322
6114451451121451444
74431154233000040
oct500234236540224
985836705802071
1022011212120212
1170169a2457777
122575b064a0b84
13c388576b1663
145614c3c37020
15282867353327
hex1404e27ac094

22011212120212 has 96 divisors (see below), whose sum is σ = 46289672110080. Its totient is φ = 8959399200000.

The previous prime is 22011212120203. The next prime is 22011212120257. The reversal of 22011212120212 is 21202121211022.

It is a self number, because there is not a number n which added to its sum of digits gives 22011212120212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30420837 + ... + 31135987.

It is an arithmetic number, because the mean of its divisors is an integer number (482184084480).

Almost surely, 222011212120212 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 22011212120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23144836055040).

22011212120212 is an abundant number, since it is smaller than the sum of its proper divisors (24278459989868).

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

22011212120212 is a wasteful number, since it uses less digits than its factorization.

22011212120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715853 (or 715851 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 22011212120212 its reverse (21202121211022), we get a palindrome (43213333331234).

The spelling of 22011212120212 in words is "twenty-two trillion, eleven billion, two hundred twelve million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 31 59 62 118 124 217 236 413 434 601 826 868 1202 1652 1829 2404 3658 4207 7316 8414 12803 16828 18631 25606 35459 37262 51212 70918 74524 130417 141836 248213 260834 496426 521668 715151 992852 1099229 1430302 2198458 2860604 4396916 5006057 7694603 10012114 15389206 20024228 22169681 30778412 42193909 44339362 84387818 88678724 155187767 168775636 295357363 310375534 429805751 590714726 620751068 859611502 1181429452 1308011179 1719223004 2616022358 3008640257 5232044716 6017280514 9156078253 12034561028 13323978281 18312156506 25358539309 26647956562 36624313012 50717078618 53295913124 93267847967 101434157236 177509775163 186535695934 355019550326 373071391868 710039100652 786114718579 1572229437158 3144458874316 5502803030053 11005606060106 22011212120212