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122104233404112 = 24315145193727951
BaseRepresentation
bin11011110000110110011011…
…011101010010011011010000
3121000100001100222011102212010
4123300312123131102123100
5112001023432222412422
61111405524353302520
734501511506045611
oct3360663335223320
9530301328142763
10122104233404112
11359a7129562283
1211840750864a40
1353194c2573a0b
142221c3accdc08
15e1b328349b0c
hex6f0d9b7526d0

122104233404112 has 80 divisors (see below), whose sum is σ = 317595265617920. Its totient is φ = 40422907440000.

The previous prime is 122104233404107. The next prime is 122104233404117. The reversal of 122104233404112 is 211404332401221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122104233404107) and next prime (122104233404117).

It is a self number, because there is not a number n which added to its sum of digits gives 122104233404112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122104233404117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30889737 + ... + 34617687.

It is an arithmetic number, because the mean of its divisors is an integer number (3969940820224).

Almost surely, 2122104233404112 is an apocalyptic number.

122104233404112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122104233404112 is an abundant number, since it is smaller than the sum of its proper divisors (195491032213808).

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

122104233404112 is a wasteful number, since it uses less digits than its factorization.

122104233404112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732632 (or 3732626 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 122104233404112 its reverse (211404332401221), we get a palindrome (333508565805333).

The spelling of 122104233404112 in words is "one hundred twenty-two trillion, one hundred four billion, two hundred thirty-three million, four hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 151 302 453 604 906 1208 1812 2416 3624 4519 7248 9038 13557 18076 27114 36152 54228 72304 108456 216912 682369 1364738 2047107 2729476 3727951 4094214 5458952 7455902 8188428 10917904 11183853 14911804 16376856 22367706 29823608 32753712 44735412 59647216 89470824 178941648 562920601 1125841202 1688761803 2251682404 3377523606 4503364808 6755047212 9006729616 13510094424 16846610569 27020188848 33693221138 50539831707 67386442276 101079663414 134772884552 202159326828 269545769104 404318653656 808637307312 2543838195919 5087676391838 7631514587757 10175352783676 15263029175514 20350705567352 30526058351028 40701411134704 61052116702056 122104233404112