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12210222000 = 243533755001
BaseRepresentation
bin10110101111100100…
…10011001110110000
31011111221200112201110
423113302103032300
5200001304101000
65335335233320
7611403113604
oct132762231660
934457615643
1012210222000
1151a6396569
122449218840
1311c788a742
1483b901504
154b6e48850
hex2d7c933b0

12210222000 has 160 divisors (see below), whose sum is σ = 40430430144. Its totient is φ = 3168000000.

The previous prime is 12210221983. The next prime is 12210222019. The reversal of 12210222000 is 22201221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 194500 + ... + 249500.

Almost surely, 212210222000 is an apocalyptic number.

12210222000 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 12210222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20215215072).

12210222000 is an abundant number, since it is smaller than the sum of its proper divisors (28220208144).

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

12210222000 is a wasteful number, since it uses less digits than its factorization.

12210222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55064 (or 55048 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12210222000 its reverse (22201221), we get a palindrome (12232423221).

It can be divided in two parts, 12 and 210222000, that added together give a palindrome (210222012).

The spelling of 12210222000 in words is "twelve billion, two hundred ten million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 740 750 888 925 1000 1110 1200 1480 1500 1776 1850 2000 2220 2775 2960 3000 3700 4440 4625 5550 6000 7400 8880 9250 11100 13875 14800 18500 22200 27750 37000 44400 55001 55500 74000 110002 111000 165003 220004 222000 275005 330006 440008 550010 660012 825015 880016 1100020 1320024 1375025 1650030 2035037 2200040 2640048 2750050 3300060 4070074 4125075 4400080 5500100 6105111 6600120 6875125 8140148 8250150 10175185 11000200 12210222 13200240 13750250 16280296 16500300 20350370 20625375 22000400 24420444 27500500 30525555 32560592 33000600 40700740 41250750 48840888 50875925 55001000 61051110 66001200 81401480 82501500 97681776 101751850 110002000 122102220 152627775 162802960 165003000 203503700 244204440 254379625 305255550 330006000 407007400 488408880 508759250 610511100 763138875 814014800 1017518500 1221022200 1526277750 2035037000 2442044400 3052555500 4070074000 6105111000 12210222000