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12220012211020 = 22523601117137747
BaseRepresentation
bin1011000111010011000101…
…1111001010101101001100
31121021012222122212102220121
42301310301133022231030
53100203041111223040
641553443543154324
72400603202652035
oct261646137125514
947235878772817
1012220012211020
113991529355379
1214543a14459a4
136a845aaa0733
14303647843a8c
15162d0d223c4a
hexb1d317cab4c

12220012211020 has 96 divisors (see below), whose sum is σ = 26845937911296. Its totient is φ = 4663593792000.

The previous prime is 12220012211009. The next prime is 12220012211111. The reversal of 12220012211020 is 2011221002221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12220012210985 and 12220012211003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323715787 + ... + 323753533.

It is an arithmetic number, because the mean of its divisors is an integer number (279645186576).

Almost surely, 212220012211020 is an apocalyptic number.

12220012211020 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 12220012211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13422968955648).

12220012211020 is an abundant number, since it is smaller than the sum of its proper divisors (14625925700276).

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

12220012211020 is a wasteful number, since it uses less digits than its factorization.

12220012211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39551 (or 39549 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12220012211020 its reverse (2011221002221), we get a palindrome (14231233213241).

The spelling of 12220012211020 in words is "twelve trillion, two hundred twenty billion, twelve million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 601 1171 1202 2342 2404 3005 4684 5855 6010 11710 12020 13823 23420 26933 27646 37747 53866 55292 69115 75494 107732 134665 138230 150988 188735 269330 276460 377470 538660 703771 754940 868181 1407542 1736362 2815084 3472724 3518855 4340905 7037710 8681810 14075420 16186733 17363620 22685947 32373466 44201737 45371894 64746932 80933665 88403474 90743788 113429735 161867330 176806948 221008685 226859470 323734660 442017370 453718940 521776781 884034740 1016639951 1043553562 2033279902 2087107124 2608883905 4066559804 5083199755 5217767810 10166399510 10435535620 20332799020 26565243937 53130487874 106260975748 132826219685 265652439370 531304878740 611000610551 1222001221102 2444002442204 3055003052755 6110006105510 12220012211020