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12222100102120 = 2351034751624401
BaseRepresentation
bin1011000111011010110111…
…1011110101101111101000
31121021102101011121022001121
42301312231323311233220
53100221330111231440
641554431050025024
72401006014514066
oct261665573655750
947242334538047
1012222100102120
1139923aa972907
121454884718174
136a870150bb5c
143037a4c5b036
15162dd169834a
hexb1dadef5be8

12222100102120 has 64 divisors (see below), whose sum is σ = 27772601725440. Its totient is φ = 4840348800000.

The previous prime is 12222100102073. The next prime is 12222100102123. The reversal of 12222100102120 is 2120100122221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12222100102094 and 12222100102103.

It is not an unprimeable number, because it can be changed into a prime (12222100102123) 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, 19261920 + ... + 19886320.

It is an arithmetic number, because the mean of its divisors is an integer number (433946901960).

Almost surely, 212222100102120 is an apocalyptic number.

12222100102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222100102120 is an abundant number, since it is smaller than the sum of its proper divisors (15550501623320).

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

12222100102120 is a wasteful number, since it uses less digits than its factorization.

12222100102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629266 (or 629262 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12222100102120 its reverse (2120100122221), we get a palindrome (14342200224341).

The spelling of 12222100102120 in words is "twelve trillion, two hundred twenty-two billion, one hundred million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 103 206 412 515 824 1030 2060 4120 4751 9502 19004 23755 38008 47510 95020 190040 489353 624401 978706 1248802 1957412 2446765 2497604 3122005 3914824 4893530 4995208 6244010 9787060 12488020 19574120 24976040 64313303 128626606 257253212 321566515 514506424 643133030 1286266060 2572532120 2966529151 5933058302 11866116604 14832645755 23732233208 29665291510 59330583020 118661166040 305552502553 611105005106 1222210010212 1527762512765 2444420020424 3055525025530 6111050051060 12222100102120