Search a number
-
+
12222011000 = 235371792179
BaseRepresentation
bin10110110000111110…
…10001011001111000
31011112202212111012002
423120133101121320
5200012313323000
65340440040132
7611605244063
oct133037213170
934482774162
1012222011000
115202008841
122451163048
1311ca157694
1483d2cd8da
154b7ec68d5
hex2d87d1678

12222011000 has 128 divisors (see below), whose sum is σ = 29382912000. Its totient is φ = 4756752000.

The previous prime is 12222010973. The next prime is 12222011017. The reversal of 12222011000 is 11022221.

It is a happy number.

It is a congruent number.

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, 5607911 + ... + 5610089.

It is an arithmetic number, because the mean of its divisors is an integer number (229554000).

Almost surely, 212222011000 is an apocalyptic number.

12222011000 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 12222011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14691456000).

12222011000 is an abundant number, since it is smaller than the sum of its proper divisors (17160901000).

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

12222011000 is a wasteful number, since it uses less digits than its factorization.

12222011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12222011000 its reverse (11022221), we get a palindrome (12233033221).

The spelling of 12222011000 in words is "twelve billion, two hundred twenty-two million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 79 100 125 142 158 200 250 284 316 355 395 500 568 632 710 790 1000 1420 1580 1775 1975 2179 2840 3160 3550 3950 4358 5609 7100 7900 8716 8875 9875 10895 11218 14200 15800 17432 17750 19750 21790 22436 28045 35500 39500 43580 44872 54475 56090 71000 79000 87160 108950 112180 140225 154709 172141 217900 224360 272375 280450 309418 344282 435800 544750 560900 618836 688564 701125 773545 860705 1089500 1121800 1237672 1377128 1402250 1547090 1721410 2179000 2804500 3094180 3442820 3867725 4303525 5609000 6188360 6885640 7735450 8607050 12222011 15470900 17214100 19338625 21517625 24444022 30941800 34428200 38677250 43035250 48888044 61110055 77354500 86070500 97776088 122220110 154709000 172141000 244440220 305550275 488880440 611100550 1222201100 1527751375 2444402200 3055502750 6111005500 12222011000