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122122112220 = 223251739909187
BaseRepresentation
bin111000110111100001…
…0111000110011011100
3102200012220022002012100
41301233002320303130
54000101230042340
6132034020405100
711552204553333
oct1615702706334
9380186262170
10122122112220
1147878826479
121b802546790
13b692a47b84
145ca710ad1a
15329b439830
hex1c6f0b8cdc

122122112220 has 72 divisors (see below), whose sum is σ = 392227499664. Its totient is φ = 30650254848.

The previous prime is 122122112209. The next prime is 122122112227. The reversal of 122122112220 is 22211221221.

It is a happy number.

122122112220 is a `hidden beast` number, since 1 + 221 + 221 + 1 + 2 + 220 = 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 = 122122112193 and 122122112202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122112227) 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, 19951534 + ... + 19957653.

It is an arithmetic number, because the mean of its divisors is an integer number (5447604162).

Almost surely, 2122122112220 is an apocalyptic number.

122122112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122112220 is an abundant number, since it is smaller than the sum of its proper divisors (270105387444).

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

122122112220 is a wasteful number, since it uses less digits than its factorization.

122122112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39909219 (or 39909214 counting only the distinct ones).

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

Adding to 122122112220 its reverse (22211221221), we get a palindrome (144333333441).

The spelling of 122122112220 in words is "one hundred twenty-two billion, one hundred twenty-two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 39909187 79818374 119727561 159636748 199545935 239455122 359182683 399091870 478910244 598637805 678456179 718365366 798183740 1197275610 1356912358 1436730732 1795913415 2035368537 2394551220 2713824716 3392280895 3591826830 4070737074 6106105611 6784561790 7183653660 8141474148 10176842685 12212211222 13569123580 20353685370 24424422444 30530528055 40707370740 61061056110 122122112220