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12220000222120 = 2352773711014169
BaseRepresentation
bin1011000111010011000011…
…0001011011101110101000
31121021012221211022100020021
42301310300301123232220
53100203030024101440
641553442434210224
72400602666030005
oct261646061335650
947235854270207
1012220000222120
113991522606999
121454399423974
136a8458463802
143036460028ac
15162d0c15684a
hexb1d30c5bba8

12220000222120 has 32 divisors (see below), whose sum is σ = 27495994271400. Its totient is φ = 4887823418368.

The previous prime is 12220000222103. The next prime is 12220000222123. The reversal of 12220000222120 is 2122200002221.

12220000222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12079058544036 + 140941678084 = 3475494^2 + 375422^2 .

It is a super-2 number, since 2×122200002221202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12220000222094 and 12220000222103.

It is not an unprimeable number, because it can be changed into a prime (12220000222123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4397605 + ... + 6616564.

Almost surely, 212220000222120 is an apocalyptic number.

12220000222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220000222120 is an abundant number, since it is smaller than the sum of its proper divisors (15275994049280).

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

12220000222120 is a wasteful number, since it uses less digits than its factorization.

12220000222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11041917 (or 11041913 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12220000222120 its reverse (2122200002221), we get a palindrome (14342200224341).

The spelling of 12220000222120 in words is "twelve trillion, two hundred twenty billion, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 27737 55474 110948 138685 221896 277370 554740 1109480 11014169 22028338 44056676 55070845 88113352 110141690 220283380 440566760 305500005553 611000011106 1222000022212 1527500027765 2444000044424 3055000055530 6110000111060 12220000222120