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12220012334052 = 22323371870153861
BaseRepresentation
bin1011000111010011000101…
…1111101000101111100100
31121021012222200002200200100
42301310301133220233210
53100203041124142202
641553443545544100
72400603204003525
oct261646137505744
947235880080610
1012220012334052
113991529429856
1214543a14a5030
136a845ab14733
1430364787684c
15162d0d24a41c
hexb1d317e8be4

12220012334052 has 72 divisors (see below), whose sum is σ = 30983367679992. Its totient is φ = 4060957824000.

The previous prime is 12220012333973. The next prime is 12220012334077. The reversal of 12220012334052 is 25043321002221.

12220012334052 is a `hidden beast` number, since 1 + 2 + 2 + 20 + 0 + 1 + 233 + 405 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1457780952996 + 10762231381056 = 1207386^2 + 3280584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226853602 + ... + 226907462.

It is an arithmetic number, because the mean of its divisors is an integer number (430324551111).

Almost surely, 212220012334052 is an apocalyptic number.

12220012334052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12220012334052 is an abundant number, since it is smaller than the sum of its proper divisors (18763355345940).

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

12220012334052 is a wasteful number, since it uses less digits than its factorization.

12220012334052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72909 (or 72904 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12220012334052 its reverse (25043321002221), we get a palindrome (37263333336273).

The spelling of 12220012334052 in words is "twelve trillion, two hundred twenty billion, twelve million, three hundred thirty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 337 674 1011 1348 2022 3033 4044 6066 12132 18701 37402 53861 56103 74804 107722 112206 161583 168309 215444 224412 323166 336618 484749 646332 673236 969498 1938996 6302237 12604474 18151157 18906711 25208948 36302314 37813422 54453471 56720133 72604628 75626844 108906942 113440266 163360413 217813884 226880532 326720826 653441652 1007254561 2014509122 3021763683 4029018244 6043527366 9065291049 12087054732 18130582098 36261164196 339444787057 678889574114 1018334361171 1357779148228 2036668722342 3055003083513 4073337444684 6110006167026 12220012334052