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222012001120 = 25571321172929
BaseRepresentation
bin1100111011000011110…
…0100100101101100000
3210020001101202012102011
43032300330210231200
512114140033013440
6245554011402304
722016443605250
oct3166074445540
9706041665364
10222012001120
1186177a94468
123703b453394
1317c217b3800
14aa616a7960
155b95b739ea
hex33b0f24b60

222012001120 has 144 divisors (see below), whose sum is σ = 649090078560. Its totient is φ = 70263078912.

The previous prime is 222012001117. The next prime is 222012001129. The reversal of 222012001120 is 21100210222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 222012001120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222012001129) 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, 397185 + ... + 775744.

It is an arithmetic number, because the mean of its divisors is an integer number (4507569990).

Almost surely, 2222012001120 is an apocalyptic number.

222012001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222012001120 is an abundant number, since it is smaller than the sum of its proper divisors (427078077440).

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

222012001120 is a wasteful number, since it uses less digits than its factorization.

222012001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172977 (or 1172956 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 222012001120 its reverse (21100210222), we get a palindrome (243112211342).

The spelling of 222012001120 in words is "two hundred twenty-two billion, twelve million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 169 182 208 224 260 280 338 364 416 455 520 560 676 728 845 910 1040 1120 1183 1352 1456 1690 1820 2080 2366 2704 2912 3380 3640 4732 5408 5915 6760 7280 9464 11830 13520 14560 18928 23660 27040 37856 47320 94640 189280 1172929 2345858 4691716 5864645 8210503 9383432 11729290 15248077 16421006 18766864 23458580 30496154 32842012 37533728 41052515 46917160 60992308 65684024 76240385 82105030 93834320 106736539 121984616 131368048 152480770 164210060 187668640 198225001 213473078 243969232 262736096 304961540 328420120 396450002 426946156 487938464 533682695 609923080 656840240 792900004 853892312 991125005 1067365390 1219846160 1313680480 1387575007 1585800008 1707784624 1982250010 2134730780 2439692320 2775150014 3171600016 3415569248 3964500020 4269461560 5550300028 6343200032 6937875035 7929000040 8538923120 11100600056 13875750070 15858000080 17077846240 22201200112 27751500140 31716000160 44402400224 55503000280 111006000560 222012001120