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12202111012 = 22713173974967
BaseRepresentation
bin10110101110100110…
…10111000000100100
31011111101102110112111
423113103113000210
5144442220023022
65334445330404
7611244142450
oct132723270044
934441373474
1012202111012
1151a1856673
122446566a04
1311c5caa940
1483a7cd660
154b6395477
hex2d74d7024

12202111012 has 96 divisors (see below), whose sum is σ = 27903149568. Its totient is φ = 4530898944.

The previous prime is 12202111007. The next prime is 12202111067. The reversal of 12202111012 is 21011120221.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 12202110983 and 12202111001.

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, 2454153 + ... + 2459119.

It is an arithmetic number, because the mean of its divisors is an integer number (290657808).

Almost surely, 212202111012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13951574784).

12202111012 is an abundant number, since it is smaller than the sum of its proper divisors (15701038556).

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

12202111012 is a wasteful number, since it uses less digits than its factorization.

12202111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5405 (or 5403 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12202111012 its reverse (21011120221), we get a palindrome (33213231233).

The spelling of 12202111012 in words is "twelve billion, two hundred two million, one hundred eleven thousand, twelve".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 364 397 442 476 794 884 1547 1588 2779 3094 4967 5161 5558 6188 6749 9934 10322 11116 13498 19868 20644 26996 34769 36127 47243 64571 69538 72254 84439 87737 94486 129142 139076 144508 168878 175474 188972 258284 337756 350948 451997 591073 614159 903994 1097707 1182146 1228318 1807988 1971899 2195414 2364292 2456636 3943798 4390828 7683949 7887596 13803293 15367898 25634687 27606586 30735796 33522283 51269374 55213172 67044566 102538748 134089132 179442809 234655981 358885618 435789679 469311962 717771236 871579358 938623924 1743158716 3050527753 6101055506 12202111012