Search a number
-
+
122111122012220 = 225113533915706459
BaseRepresentation
bin11011110000111100110110…
…000011001111100000111100
3121000100201011001021222200202
4123300330312003033200330
5112001132034213342340
61111413024112143032
734502144303205305
oct3360746603174074
9530321131258622
10122111122012220
11359aa043a44530
1211841b53837a78
13531a04c777ba3
1422222d1b317ac
15e1b5cceadc15
hex6f0f360cf83c

122111122012220 has 48 divisors (see below), whose sum is σ = 279753413385600. Its totient is φ = 44402785024320.

The previous prime is 122111122012169. The next prime is 122111122012223. The reversal of 122111122012220 is 22210221111221.

It is a super-2 number, since 2×1221111220122202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122111122012192 and 122111122012201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111122012223) 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, 78650 + ... + 15627809.

It is an arithmetic number, because the mean of its divisors is an integer number (5828196112200).

Almost surely, 2122111122012220 is an apocalyptic number.

122111122012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111122012220 is an abundant number, since it is smaller than the sum of its proper divisors (157642291373380).

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

122111122012220 is a wasteful number, since it uses less digits than its factorization.

122111122012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15741818 (or 15741816 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122111122012220 its reverse (22210221111221), we get a palindrome (144321343123441).

Subtracting from 122111122012220 its reverse (22210221111221), we obtain a palindrome (99900900900999).

The spelling of 122111122012220 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred twenty-two million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 35339 70678 141356 176695 353390 388729 706780 777458 1554916 1943645 3887290 7774580 15706459 31412918 62825836 78532295 157064590 172771049 314129180 345542098 691084196 863855245 1727710490 3455420980 555050554601 1110101109202 2220202218404 2775252773005 5550505546010 6105556100611 11101011092020 12211112201222 24422224402444 30527780503055 61055561006110 122111122012220