Search a number
-
+
1222210011120 = 24357727505959
BaseRepresentation
bin10001110010010001011…
…001001011111111110000
311022211201220202120112220
4101302101121023333300
5130011041230323440
62333250414121040
7154205334453030
oct21622131137760
94284656676486
101222210011120
1143137776318a
12178a577b0180
138b33baba917
14432261358c0
1521bd499e8d0
hex11c9164bff0

1222210011120 has 80 divisors (see below), whose sum is σ = 4330115473920. Its totient is φ = 279362287872.

The previous prime is 1222210011049. The next prime is 1222210011149. The reversal of 1222210011120 is 211100122221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12222100111202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1222210011120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363751300 + ... + 363754659.

It is an arithmetic number, because the mean of its divisors is an integer number (54126443424).

Almost surely, 21222210011120 is an apocalyptic number.

1222210011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1222210011120 is an abundant number, since it is smaller than the sum of its proper divisors (3107905462800).

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

1222210011120 is a wasteful number, since it uses less digits than its factorization.

1222210011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727505982 (or 727505976 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1222210011120 its reverse (211100122221), we get a palindrome (1433310133341).

The spelling of 1222210011120 in words is "one trillion, two hundred twenty-two billion, two hundred ten million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 727505959 1455011918 2182517877 2910023836 3637529795 4365035754 5092541713 5820047672 7275059590 8730071508 10185083426 10912589385 11640095344 14550119180 15277625139 17460143016 20370166852 21825178770 25462708565 29100238360 30555250278 34920286032 40740333704 43650357540 50925417130 58200476720 61110500556 76388125695 81480667408 87300715080 101850834260 122221001112 152776251390 174601430160 203701668520 244442002224 305552502780 407403337040 611105005560 1222210011120