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12220102000 = 245340914939
BaseRepresentation
bin10110110000101111…
…11111010101110000
31011112122021111112101
423120113333111300
5200011321231000
65340331110144
7611553103351
oct133027772560
934478244471
1012220102000
115200a24557
1224505a2354
1311c99397b2
1483cd53d28
154b7c4ae6a
hex2d85ff570

12220102000 has 80 divisors (see below), whose sum is σ = 29622434400. Its totient is φ = 4875763200.

The previous prime is 12220101989. The next prime is 12220102021. The reversal of 12220102000 is 20102221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810531 + ... + 825469.

It is an arithmetic number, because the mean of its divisors is an integer number (370280430).

Almost surely, 212220102000 is an apocalyptic number.

12220102000 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 12220102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14811217200).

12220102000 is an abundant number, since it is smaller than the sum of its proper divisors (17402332400).

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

12220102000 is a wasteful number, since it uses less digits than its factorization.

12220102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15371 (or 15355 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12220102000 its reverse (20102221), we get a palindrome (12240204221).

The spelling of 12220102000 in words is "twelve billion, two hundred twenty million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 409 500 818 1000 1636 2000 2045 3272 4090 6544 8180 10225 14939 16360 20450 29878 32720 40900 51125 59756 74695 81800 102250 119512 149390 163600 204500 239024 298780 373475 409000 597560 746950 818000 1195120 1493900 1867375 2987800 3734750 5975600 6110051 7469500 12220102 14939000 24440204 29878000 30550255 48880408 61100510 97760816 122201020 152751275 244402040 305502550 488804080 611005100 763756375 1222010200 1527512750 2444020400 3055025500 6110051000 12220102000