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12122212000000 = 28563030553
BaseRepresentation
bin1011000001100110110000…
…1000111110000100000000
31120220212112210111221211211
42300121230020332010000
53042102242233000000
641440511201215504
72360541466613344
oct260315410760400
946825483457754
1012122212000000
1139540017152a3
121439448331594
1369c172c4a59b
142dca0aa07624
151604d71b37ba
hexb066c23e100

12122212000000 has 126 divisors (see below), whose sum is σ = 30245962338914. Its totient is φ = 4848883200000.

The previous prime is 12122211999979. The next prime is 12122212000007. The reversal of 12122212000000 is 21222121.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 12108618305536 + 13593694464 = 3479744^2 + 116592^2 .

It is not an unprimeable number, because it can be changed into a prime (12122212000007) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2484724 + ... + 5515276.

Almost surely, 212122212000000 is an apocalyptic number.

12122212000000 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 12122212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15122981169457).

12122212000000 is an abundant number, since it is smaller than the sum of its proper divisors (18123750338914).

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

12122212000000 is an frugal number, since it uses more digits than its factorization.

12122212000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030599 (or 3030560 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12122212000000 its reverse (21222121), we get a palindrome (12122233222121).

The spelling of 12122212000000 in words is "twelve trillion, one hundred twenty-two billion, two hundred twelve million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 80000 100000 125000 160000 200000 250000 400000 500000 800000 1000000 2000000 3030553 4000000 6061106 12122212 15152765 24244424 30305530 48488848 60611060 75763825 96977696 121222120 151527650 193955392 242444240 303055300 378819125 387910784 484888480 606110600 757638250 775821568 969776960 1212221200 1515276500 1894095625 1939553920 2424442400 3030553000 3788191250 3879107840 4848884800 6061106000 7576382500 9470478125 9697769600 12122212000 15152765000 18940956250 19395539200 24244424000 30305530000 37881912500 47352390625 48488848000 60611060000 75763825000 94704781250 96977696000 121222120000 151527650000 189409562500 242444240000 303055300000 378819125000 484888480000 606110600000 757638250000 1212221200000 1515276500000 2424442400000 3030553000000 6061106000000 12122212000000