Search a number
-
+
12220011020 = 2257234573607
BaseRepresentation
bin10110110000101111…
…01001001000001100
31011112122002212201202
423120113221020030
5200011310323040
65340325125032
7611552244200
oct133027511014
934478085652
1012220011020
115200972168
122450559778
1311c9907269
1483cd2cb00
154b7c2e015
hex2d85e920c

12220011020 has 72 divisors (see below), whose sum is σ = 29868654816. Its totient is φ = 4187344896.

The previous prime is 12220011019. The next prime is 12220011107. The reversal of 12220011020 is 2011002221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12220010992 and 12220011010.

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, 3386057 + ... + 3389663.

It is an arithmetic number, because the mean of its divisors is an integer number (414842428).

Almost surely, 212220011020 is an apocalyptic number.

12220011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220011020 is an abundant number, since it is smaller than the sum of its proper divisors (17648643796).

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

12220011020 is a wasteful number, since it uses less digits than its factorization.

12220011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7087 (or 7078 counting only the distinct ones).

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

Adding to 12220011020 its reverse (2011002221), we get a palindrome (14231013241).

The spelling of 12220011020 in words is "twelve billion, two hundred twenty million, eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 3457 3607 6914 7214 13828 14428 17285 18035 24199 25249 34570 36070 48398 50498 69140 72140 96796 100996 120995 126245 169393 176743 241990 252490 338786 353486 483980 504980 677572 706972 846965 883715 1693930 1767430 3387860 3534860 12469399 24938798 49877596 62346995 87285793 124693990 174571586 249387980 349143172 436428965 611000551 872857930 1222001102 1745715860 2444002204 3055002755 6110005510 12220011020