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12220022101120 = 27519093784533
BaseRepresentation
bin1011000111010011001000…
…0100111001010010000000
31121021020000100110220120121
42301310302010321102000
53100203101124213440
641553444535150024
72400603353013121
oct261646204712200
947236010426517
1012220022101120
11399153399aa09
1214543a4815314
136a845cb54272
14303648c9a048
15162d0e02934a
hexb1d32139480

12220022101120 has 32 divisors (see below), whose sum is σ = 29213490337020. Its totient is φ = 4888008840192.

The previous prime is 12220022101003. The next prime is 12220022101121. The reversal of 12220022101120 is 2110122002221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11932271393344 + 287750707776 = 3454312^2 + 536424^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×122200221011202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12220022101094 and 12220022101103.

It is not an unprimeable number, because it can be changed into a prime (12220022101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9546891627 + ... + 9546892906.

Almost surely, 212220022101120 is an apocalyptic number.

12220022101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220022101120 is an abundant number, since it is smaller than the sum of its proper divisors (16993468235900).

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

12220022101120 is an equidigital number, since it uses as much as digits as its factorization.

12220022101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19093784552 (or 19093784540 counting only the distinct ones).

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

Adding to 12220022101120 its reverse (2110122002221), we get a palindrome (14330144103341).

The spelling of 12220022101120 in words is "twelve trillion, two hundred twenty billion, twenty-two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 19093784533 38187569066 76375138132 95468922665 152750276264 190937845330 305500552528 381875690660 611001105056 763751381320 1222002210112 1527502762640 2444004420224 3055005525280 6110011050560 12220022101120