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122212112221221 = 31129379735581877
BaseRepresentation
bin11011110010011010111001…
…100010010100010000100101
3121000201100211020012011022220
4123302122321202110100211
5112004310401212034341
61111531245210542553
734512351032625441
oct3362327142242045
9530640736164286
10122212112221221
1135a38958316280
1211859639137a59
1353267254770c9
1422271524b1821
15e1e03e0e3a66
hex6f26b9894425

122212112221221 has 64 divisors (see below), whose sum is σ = 190809955687680. Its totient is φ = 68863739535360.

The previous prime is 122212112221159. The next prime is 122212112221231. The reversal of 122212112221221 is 122122211212221.

It is not a de Polignac number, because 122212112221221 - 217 = 122212112090149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122212112221191 and 122212112221200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122212112221231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14356266 + ... + 21225611.

It is an arithmetic number, because the mean of its divisors is an integer number (2981405557620).

Almost surely, 2122212112221221 is an apocalyptic number.

122212112221221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122212112221221 is a deficient number, since it is larger than the sum of its proper divisors (68597843466459).

122212112221221 is a wasteful number, since it uses less digits than its factorization.

122212112221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35582054.

The product of its digits is 512, while the sum is 24.

Adding to 122212112221221 its reverse (122122211212221), we get a palindrome (244334323433442).

The spelling of 122212112221221 in words is "one hundred twenty-two trillion, two hundred twelve billion, one hundred twelve million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 11 29 33 37 87 97 111 291 319 407 957 1067 1073 1221 2813 3201 3219 3589 8439 10767 11803 30943 35409 39479 92829 104081 118437 312243 1144891 3434673 35581877 106745631 391400647 1031874433 1174201941 1316529449 3095623299 3451442069 3949588347 10354326207 11350618763 14481823939 34051856289 37965862759 38179354021 43445471817 100091820001 113897588277 114538062063 127703356553 300275460003 383110069659 419972894231 1101010020011 1259918682693 1404736922083 3303030060033 3703397340037 4214210766249 11110192020111 40737370740407 122212112221221