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12220010100020 = 225611000505001
BaseRepresentation
bin1011000111010011000101…
…0111000111010100110100
31121021012222111220012011102
42301310301113013110310
53100203040041200040
641553443430025232
72400603146010362
oct261646127072464
947235874805142
1012220010100020
113991528143348
1214543a07a8218
136a845a511918
14303647454632
15162d0ce58515
hexb1d315c7534

12220010100020 has 12 divisors (see below), whose sum is σ = 25662021210084. Its totient is φ = 4888004040000.

The previous prime is 12220010100019. The next prime is 12220010100037. The reversal of 12220010100020 is 2000101002221.

It is a happy number.

12220010100020 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 2 ways, for example, as 2233727528356 + 9986282571664 = 1494566^2 + 3160108^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12220010099974 and 12220010100010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 305500252481 + ... + 305500252520.

It is an arithmetic number, because the mean of its divisors is an integer number (2138501767507).

Almost surely, 212220010100020 is an apocalyptic number.

12220010100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220010100020 is an abundant number, since it is smaller than the sum of its proper divisors (13442011110064).

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

12220010100020 is a wasteful number, since it uses less digits than its factorization.

12220010100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611000505010 (or 611000505008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12220010100020 its reverse (2000101002221), we get a palindrome (14220111102241).

The spelling of 12220010100020 in words is "twelve trillion, two hundred twenty billion, ten million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 611000505001 1222001010002 2444002020004 3055002525005 6110005050010 12220010100020