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212120012120022 = 23317337168545699
BaseRepresentation
bin110000001110110000001001…
…111110001101111111010110
31000211001110211100200112102000
4300032300021332031333112
5210300333241100320042
62031050331023500130
762452110433452006
oct6016601176157726
91024043740615360
10212120012120022
1161651656980216
121b95a342a57646
139148aa651a626
143a549403c2006
15197cadd05b74c
hexc0ec09f8dfd6

212120012120022 has 64 divisors (see below), whose sum is σ = 499253976864000. Its totient is φ = 66527712650880.

The previous prime is 212120012120021. The next prime is 212120012120059. The reversal of 212120012120022 is 220021210021212.

It is a happy number.

212120012120022 is a `hidden beast` number, since 2 + 121 + 200 + 121 + 200 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212120012119977 and 212120012120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120012120021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31178272 + ... + 37367427.

It is an arithmetic number, because the mean of its divisors is an integer number (7800843388500).

Almost surely, 2212120012120022 is an apocalyptic number.

212120012120022 is an abundant number, since it is smaller than the sum of its proper divisors (287133964743978).

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

212120012120022 is a wasteful number, since it uses less digits than its factorization.

212120012120022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68549098 (or 68549092 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212120012120022 its reverse (220021210021212), we get a palindrome (432141222141234).

The spelling of 212120012120022 in words is "two hundred twelve trillion, one hundred twenty billion, twelve million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 3371 6742 10113 20226 30339 57307 60678 91017 114614 171921 182034 343842 515763 1031526 1547289 3094578 68545699 137091398 205637097 411274194 616911291 1165276883 1233822582 1850733873 2330553766 3495830649 3701467746 6991661298 10487491947 20974983894 31462475841 62924951682 231067551329 462135102658 693202653987 1386405307974 2079607961961 3928148372593 4159215923922 6238823885883 7856296745186 11784445117779 12477647771766 23568890235558 35353335353337 70706670706674 106060006060011 212120012120022