Search a number
-
+
122020211221110 = 232541136724190057
BaseRepresentation
bin11011101111101000001011…
…010110000110001001110110
3121000001000111022121022001100
4123233220023112012021312
5111443134343033033420
61111303151114310530
734462445404220136
oct3357501326061166
9530030438538040
10122020211221110
11359745321a0614
1211828401a28446
1353115c2051577
14221bb49ca8ac6
15e1905bbc3190
hex6efa0b586276

122020211221110 has 96 divisors (see below), whose sum is σ = 325228169552832. Its totient is φ = 31721871836160.

The previous prime is 122020211221031. The next prime is 122020211221177. The reversal of 122020211221110 is 11122112020221.

122020211221110 is a `hidden beast` number, since 1 + 220 + 2 + 0 + 211 + 221 + 1 + 10 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7050799 + ... + 17139258.

It is an arithmetic number, because the mean of its divisors is an integer number (3387793432842).

Almost surely, 2122020211221110 is an apocalyptic number.

122020211221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122020211221110 is an abundant number, since it is smaller than the sum of its proper divisors (203207958331722).

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

122020211221110 is a wasteful number, since it uses less digits than its factorization.

122020211221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24191478 (or 24191475 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122020211221110 its reverse (11122112020221), we get a palindrome (133142323241331).

The spelling of 122020211221110 in words is "one hundred twenty-two trillion, twenty billion, two hundred eleven million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1367 1845 2734 3690 4101 6835 8202 12303 13670 20505 24606 41010 56047 61515 112094 123030 168141 280235 336282 504423 560470 840705 1008846 1681410 2522115 5044230 24190057 48380114 72570171 120950285 145140342 217710513 241900570 362850855 435421026 725701710 991792337 1088552565 1983584674 2177105130 2975377011 4958961685 5950754022 8926131033 9917923370 14876885055 17852262066 29753770110 33067807919 44630655165 66135615838 89261310330 99203423757 165339039595 198406847514 297610271271 330678079190 496017118785 595220542542 992034237570 1355780124679 1488051356355 2711560249358 2976102712710 4067340374037 6778900623395 8134680748074 12202021122111 13557801246790 20336701870185 24404042244222 40673403740370 61010105610555 122020211221110