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12220020000012 = 223111814211214891
BaseRepresentation
bin1011000111010011000111…
…1100111000010100001100
31121021020000012112011101210
42301310301330320110030
53100203100110000022
641553444422134420
72400603326112336
oct261646174702414
947236005464353
1012220020000012
113991532795360
1214543a3b81410
136a845c599ac6
143036488b0456
15162d0dc61a0c
hexb1d31f3850c

12220020000012 has 96 divisors (see below), whose sum is σ = 31351677896448. Its totient is φ = 3673827360000.

The previous prime is 12220019999969. The next prime is 12220020000059. The reversal of 12220020000012 is 21000002002221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 9451087 + ... + 10665977.

It is an arithmetic number, because the mean of its divisors is an integer number (326579978088).

Almost surely, 212220020000012 is an apocalyptic number.

12220020000012 is a gapful number since it is divisible by the number (12) 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 12220020000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15675838948224).

12220020000012 is an abundant number, since it is smaller than the sum of its proper divisors (19131657896436).

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

12220020000012 is a wasteful number, since it uses less digits than its factorization.

12220020000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215511 (or 1215509 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12220020000012 its reverse (21000002002221), we get a palindrome (33220022002233).

The spelling of 12220020000012 in words is "twelve trillion, two hundred twenty billion, twenty million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 181 362 421 543 724 842 1086 1263 1684 1991 2172 2526 3982 4631 5052 5973 7964 9262 11946 13893 18524 23892 27786 55572 76201 152402 228603 304804 457206 838211 914412 1214891 1676422 2429782 2514633 3352844 3644673 4859564 5029266 7289346 10058532 13363801 14578692 26727602 40091403 53455204 80182806 160365612 219895271 439790542 511469111 659685813 879581084 1022938222 1319371626 1534407333 2045876444 2418847981 2638743252 3068814666 4837695962 5626160221 6137629332 7256543943 9675391924 11252320442 14513087886 16878480663 22504640884 29026175772 33756961326 67513922652 92575909091 185151818182 277727727273 370303636364 555455454546 1018335000001 1110910909092 2036670000002 3055005000003 4073340000004 6110010000006 12220020000012