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122120122220112 = 24312001721198407
BaseRepresentation
bin11011110001000101001110…
…100000010011111001010000
3121000101120101021202220212210
4123301011032200103321100
5112001304002242020422
61111421113141552120
734502613320543412
oct3361051640237120
9530346337686783
10122120122220112
1135a02942367975
1211843845a15640
13531ab5529b9a3
14222290719c9b2
15e1b9581cc10c
hex6f114e813e50

122120122220112 has 40 divisors (see below), whose sum is σ = 315479625886656. Its totient is φ = 40706366311936.

The previous prime is 122120122220071. The next prime is 122120122220141. The reversal of 122120122220112 is 211022221021221.

122120122220112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1221201222201123 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4838388 + ... + 16360019.

Almost surely, 2122120122220112 is an apocalyptic number.

122120122220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122120122220112 is an abundant number, since it is smaller than the sum of its proper divisors (193359503666544).

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

122120122220112 is a wasteful number, since it uses less digits than its factorization.

122120122220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21318435 (or 21318429 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 122120122220112 its reverse (211022221021221), we get a palindrome (333142343241333).

The spelling of 122120122220112 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 120017 240034 360051 480068 720102 960136 1440204 1920272 2880408 5760816 21198407 42396814 63595221 84793628 127190442 169587256 254380884 339174512 508761768 1017523536 2544169212919 5088338425838 7632507638757 10176676851676 15265015277514 20353353703352 30530030555028 40706707406704 61060061110056 122120122220112