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222120300012 = 223138938341771
BaseRepresentation
bin1100111011011101100…
…1101100110111101100
3210020022221112100120020
43032313121230313230
512114400244100022
6250012440522140
722022230253412
oct3166731546754
9706287470506
10222120300012
1186223133a86
123706b780350
1317c3b0717b0
14aa71c192b2
155ba041735c
hex33b766cdec

222120300012 has 96 divisors (see below), whose sum is σ = 565907005440. Its totient is φ = 67398735360.

The previous prime is 222120299971. The next prime is 222120300047. The reversal of 222120300012 is 210003021222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 222120299964 and 222120300000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5296687 + ... + 5338457.

It is an arithmetic number, because the mean of its divisors is an integer number (5894864640).

Almost surely, 2222120300012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222120300012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282953502720).

222120300012 is an abundant number, since it is smaller than the sum of its proper divisors (343786705428).

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

222120300012 is a wasteful number, since it uses less digits than its factorization.

222120300012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42263 (or 42261 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 222120300012 its reverse (210003021222), we get a palindrome (432123321234).

The spelling of 222120300012 in words is "two hundred twenty-two billion, one hundred twenty million, three hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 156 178 267 356 383 534 766 1068 1149 1157 1532 2298 2314 3471 4596 4628 4979 6942 9958 13884 14937 19916 29874 34087 41771 59748 68174 83542 102261 125313 136348 167084 204522 250626 409044 443131 501252 543023 886262 1086046 1329393 1629069 1772524 2172092 2658786 3258138 3717619 5317572 6516276 7435238 11152857 14870476 15998293 22305714 31996586 44611428 47994879 48329047 63993172 95989758 96658094 144987141 191979516 193316188 207977809 289974282 415955618 579948564 623933427 831911236 1247866854 1423848077 2495733708 2847696154 4271544231 5695392308 8543088462 17086176924 18510025001 37020050002 55530075003 74040100004 111060150006 222120300012