Search a number
-
+
121222210000120 = 23517923311726287
BaseRepresentation
bin11011100100000000111110…
…110001000001010011111000
3120220012201201020112001101221
4123210000332301001103320
5111342101041230000440
61105452414154521424
734351005240603145
oct3344007661012370
9526181636461357
10121222210000120
113569706131a0a9
1211719814a36274
135284289212588
1421d12871a13cc
15e03404101d4a
hex6e403ec414f8

121222210000120 has 64 divisors (see below), whose sum is σ = 274285858867200. Its totient is φ = 48215861527680.

The previous prime is 121222210000097. The next prime is 121222210000123. The reversal of 121222210000120 is 21000012222121.

It is a happy number.

121222210000120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 121222210000094 and 121222210000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121222210000123) 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, 166543617 + ... + 167269903.

It is an arithmetic number, because the mean of its divisors is an integer number (4285716544800).

Almost surely, 2121222210000120 is an apocalyptic number.

121222210000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121222210000120 is an abundant number, since it is smaller than the sum of its proper divisors (153063648867080).

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

121222210000120 is a wasteful number, since it uses less digits than its factorization.

121222210000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749788 (or 749784 counting only the distinct ones).

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

Adding to 121222210000120 its reverse (21000012222121), we get a palindrome (142222222222241).

The spelling of 121222210000120 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, two hundred ten million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 179 358 716 895 1432 1790 3580 7160 23311 46622 93244 116555 186488 233110 466220 726287 932440 1452574 2905148 3631435 4172669 5810296 7262870 8345338 14525740 16690676 20863345 29051480 33381352 41726690 83453380 130005373 166906760 260010746 520021492 650026865 1040042984 1300053730 2600107460 5200214920 16930476257 33860952514 67721905028 84652381285 135443810056 169304762570 338609525140 677219050280 3030555250003 6061110500006 12122221000012 15152776250015 24244442000024 30305552500030 60611105000060 121222210000120