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12222333000 = 233453150893
BaseRepresentation
bin10110110001000001…
…00000000001001000
31011112210110211220000
423120200200001020
5200012404124000
65340451003000
7611611054623
oct133040400110
934483424800
1012222333000
115202208759
122451299460
1311ca23b107
1483d374dba
154b803c000
hex2d8820048

12222333000 has 160 divisors (see below), whose sum is σ = 42724127160. Its totient is φ = 3259267200.

The previous prime is 12222332929. The next prime is 12222333023. The reversal of 12222333000 is 33322221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1107691524 + 11114641476 = 33282^2 + 105426^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5554 + ... + 156446.

Almost surely, 212222333000 is an apocalyptic number.

12222333000 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 12222333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21362063580).

12222333000 is an abundant number, since it is smaller than the sum of its proper divisors (30501794160).

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

12222333000 is a wasteful number, since it uses less digits than its factorization.

12222333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150926 (or 150903 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12222333000 its reverse (33322221), we get a palindrome (12255655221).

The spelling of 12222333000 in words is "twelve billion, two hundred twenty-two million, three hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 648 675 750 810 900 1000 1080 1125 1350 1500 1620 1800 2025 2250 2700 3000 3240 3375 4050 4500 5400 6750 8100 9000 10125 13500 16200 20250 27000 40500 81000 150893 301786 452679 603572 754465 905358 1207144 1358037 1508930 1810716 2263395 2716074 3017860 3621432 3772325 4074111 4526790 5432148 6035720 6790185 7544650 8148222 9053580 10864296 11316975 12222333 13580370 15089300 16296444 18107160 18861625 20370555 22633950 24444666 27160740 30178600 32592888 33950925 37723250 40741110 45267900 48889332 54321480 56584875 61111665 67901850 75446500 81482220 90535800 97778664 101852775 113169750 122223330 135803700 150893000 162964440 169754625 203705550 226339500 244446660 271607400 305558325 339509250 407411100 452679000 488893320 509263875 611116650 679018500 814822200 1018527750 1222233300 1358037000 1527791625 2037055500 2444466600 3055583250 4074111000 6111166500 12222333000