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122120122212 = 2232112707113921
BaseRepresentation
bin111000110111011101…
…1010010111101100100
3102200012202112222102100
41301232323102331210
54000100222402322
6132033510012100
711552151624504
oct1615673227544
9380182488370
10122120122212
1147877697340
121b801947030
13b6924cc15a
145ca6b4da04
15329b194dac
hex1c6eed2f64

122120122212 has 72 divisors (see below), whose sum is σ = 336882847392. Its totient is φ = 36992102400.

The previous prime is 122120122193. The next prime is 122120122219. The reversal of 122120122212 is 212221021221.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (122120122219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015012 + ... + 1128932.

It is an arithmetic number, because the mean of its divisors is an integer number (4678928436).

Almost surely, 2122120122212 is an apocalyptic number.

122120122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122120122212 is an abundant number, since it is smaller than the sum of its proper divisors (214762725180).

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

122120122212 is a wasteful number, since it uses less digits than its factorization.

122120122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116649 (or 116644 counting only the distinct ones).

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

Adding to 122120122212 its reverse (212221021221), we get a palindrome (334341143433).

The spelling of 122120122212 in words is "one hundred twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 2707 5414 8121 10828 16242 24363 29777 32484 48726 59554 89331 97452 113921 119108 178662 227842 267993 341763 357324 455684 535986 683526 1025289 1071972 1253131 1367052 2050578 2506262 3759393 4101156 5012524 7518786 11278179 15037572 22556358 45112716 308384147 616768294 925152441 1233536588 1850304882 2775457323 3392225617 3700609764 5550914646 6784451234 10176676851 11101829292 13568902468 20353353702 30530030553 40706707404 61060061106 122120122212