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12220201000 = 2353717310091
BaseRepresentation
bin10110110000110000…
…10111100000101000
31011112122110112100001
423120120113200220
5200011332413000
65340333152344
7611553665110
oct133030274050
934478415301
1012220201000
115200a91977
12245062b6b4
1311c9972887
1483cd7c040
154b7c6a46a
hex2d8617828

12220201000 has 128 divisors (see below), whose sum is σ = 32872469760. Its totient is φ = 4165152000.

The previous prime is 12220200977. The next prime is 12220201013. The reversal of 12220201000 is 10202221.

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

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, 1205955 + ... + 1216045.

It is an arithmetic number, because the mean of its divisors is an integer number (256816170).

Almost surely, 212220201000 is an apocalyptic number.

12220201000 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 12220201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16436234880).

12220201000 is an abundant number, since it is smaller than the sum of its proper divisors (20652268760).

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

12220201000 is a wasteful number, since it uses less digits than its factorization.

12220201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10292 (or 10278 counting only the distinct ones).

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

Adding to 12220201000 its reverse (10202221), we get a palindrome (12230403221).

The spelling of 12220201000 in words is "twelve billion, two hundred twenty million, two hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 173 175 200 250 280 346 350 500 692 700 865 875 1000 1211 1384 1400 1730 1750 2422 3460 3500 4325 4844 6055 6920 7000 8650 9688 10091 12110 17300 20182 21625 24220 30275 34600 40364 43250 48440 50455 60550 70637 80728 86500 100910 121100 141274 151375 173000 201820 242200 252275 282548 302750 353185 403640 504550 565096 605500 706370 1009100 1211000 1261375 1412740 1745743 1765925 2018200 2522750 2825480 3491486 3531850 5045500 6982972 7063700 8728715 8829625 10091000 12220201 13965944 14127400 17457430 17659250 24440402 34914860 35318500 43643575 48880804 61101005 69829720 70637000 87287150 97761608 122202010 174574300 218217875 244404020 305505025 349148600 436435750 488808040 611010050 872871500 1222020100 1527525125 1745743000 2444040200 3055050250 6110100500 12220201000