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12220020012020 = 2254536011347001
BaseRepresentation
bin1011000111010011000111…
…1100111011001111110100
31121021020000012112202212112
42301310301330323033310
53100203100110341040
641553444422310152
72400603326162342
oct261646174731764
947236005482775
1012220020012020
1139915327a3387
1214543a3b88358
136a845c5a2402
143036488b4992
15162d0dc65365
hexb1d31f3b3f4

12220020012020 has 24 divisors (see below), whose sum is σ = 25662117650568. Its totient is φ = 4887993600000.

The previous prime is 12220020011971. The next prime is 12220020012103. The reversal of 12220020012020 is 2021002002221.

It can be written as a sum of positive squares in 4 ways, for example, as 2335107947236 + 9884912064784 = 1528106^2 + 3144028^2 .

It is a super-4 number, since 4×122200200120204 (a number of 53 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12220020011986 and 12220020012004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8398520 + ... + 9745520.

It is an arithmetic number, because the mean of its divisors is an integer number (1069254902107).

Almost surely, 212220020012020 is an apocalyptic number.

12220020012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220020012020 is an abundant number, since it is smaller than the sum of its proper divisors (13442097638548).

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

12220020012020 is a wasteful number, since it uses less digits than its factorization.

12220020012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800611 (or 1800609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12220020012020 its reverse (2021002002221), we get a palindrome (14241022014241).

The spelling of 12220020012020 in words is "twelve trillion, two hundred twenty billion, twenty million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 453601 907202 1347001 1814404 2268005 2694002 4536010 5388004 6735005 9072020 13470010 26940020 611001000601 1222002001202 2444004002404 3055005003005 6110010006010 12220020012020