Search a number
-
+
12220220112020 = 2251959655383177
BaseRepresentation
bin1011000111010011110111…
…1000001111110010010100
31121021020112011001220110122
42301310331320033302110
53100204002322041040
641553520331211112
72400611306044304
oct261647570176224
947236464056418
1012220220112020
113991625744488
12145443aba6a98
136a8491b9308b
143036672c1604
15162d215de1b5
hexb1d3de0fc94

12220220112020 has 96 divisors (see below), whose sum is σ = 27475490044800. Its totient is φ = 4551582357504.

The previous prime is 12220220112019. The next prime is 12220220112053. The reversal of 12220220112020 is 2021102202221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12220220112020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146876672 + ... + 146959848.

It is an arithmetic number, because the mean of its divisors is an integer number (286203021300).

Almost surely, 212220220112020 is an apocalyptic number.

12220220112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220220112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13737745022400).

12220220112020 is an abundant number, since it is smaller than the sum of its proper divisors (15255269932780).

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

12220220112020 is a wasteful number, since it uses less digits than its factorization.

12220220112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89817 (or 89815 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12220220112020 its reverse (2021102202221), we get a palindrome (14241322314241).

The spelling of 12220220112020 in words is "twelve trillion, two hundred twenty billion, two hundred twenty million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 59 76 95 118 190 236 295 380 590 1121 1180 2242 4484 5605 6553 11210 13106 22420 26212 32765 65530 83177 124507 131060 166354 249014 332708 386627 415885 498028 622535 773254 831770 1245070 1546508 1580363 1663540 1933135 2490140 3160726 3866270 4907443 6321452 7345913 7732540 7901815 9814886 14691826 15803630 19629772 24537215 29383652 31607260 36729565 49074430 73459130 93241417 98148860 146918260 186482834 372965668 466207085 545058881 932414170 1090117762 1864828340 2180235524 2725294405 5450588810 10356118739 10901177620 20712237478 32158473979 41424474956 51780593695 64316947958 103561187390 128633895916 160792369895 207122374780 321584739790 611011005601 643169479580 1222022011202 2444044022404 3055055028005 6110110056010 12220220112020