Search a number
-
+
12012210122220 = 223257112194146803
BaseRepresentation
bin1010111011001100111110…
…0001000110110111101100
31120112100121120120120122100
42232303033201012313230
53033302001242402340
641314155543215100
72346565523232330
oct256631741066754
946470546516570
1012012210122220
113911393502400
121420068a47490
13691992243a89
142d75734957c0
1515c6e9d49830
hexaeccf846dec

12012210122220 has 432 divisors, whose sum is σ = 48181218059520. Its totient is φ = 2364672372480.

The previous prime is 12012210122203. The next prime is 12012210122299. The reversal of 12012210122220 is 2222101221021.

It is a happy number.

12012210122220 is a `hidden beast` number, since 1 + 201 + 221 + 0 + 1 + 22 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12012210122193 and 12012210122202.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 823339 + ... + 4970141.

It is an arithmetic number, because the mean of its divisors is an integer number (111530597360).

Almost surely, 212012210122220 is an apocalyptic number.

12012210122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012210122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24090609029760).

12012210122220 is an abundant number, since it is smaller than the sum of its proper divisors (36169007937300).

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

12012210122220 is a wasteful number, since it uses less digits than its factorization.

12012210122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146866 (or 4146850 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12012210122220 its reverse (2222101221021), we get a palindrome (14234311343241).

The spelling of 12012210122220 in words is "twelve trillion, twelve billion, two hundred ten million, one hundred twenty-two thousand, two hundred twenty".