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12222212000 = 255310130253
BaseRepresentation
bin10110110001000000…
…00010011110100000
31011112210020200220112
423120200002132200
5200012341241000
65340444230452
7611610042065
oct133040023640
934483220815
1012222212000
115202135859
12245123b428
1311ca1c800b
1483d342c6c
154b8016235
hex2d88027a0

12222212000 has 96 divisors (see below), whose sum is σ = 30328303824. Its totient is φ = 4840320000.

The previous prime is 12222211979. The next prime is 12222212003. The reversal of 12222212000 is 21222221.

It can be written as a sum of positive squares in 8 ways, for example, as 5824131856 + 6398080144 = 76316^2 + 79988^2 .

It is not an unprimeable number, because it can be changed into a prime (12222212003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388874 + ... + 419126.

Almost surely, 212222212000 is an apocalyptic number.

12222212000 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 12222212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15164151912).

12222212000 is an abundant number, since it is smaller than the sum of its proper divisors (18106091824).

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

12222212000 is a wasteful number, since it uses less digits than its factorization.

12222212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30379 (or 30361 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12222212000 its reverse (21222221), we get a palindrome (12243434221).

It can be divided in two parts, 1222221 and 2000, that added together give a palindrome (1224221).

The spelling of 12222212000 in words is "twelve billion, two hundred twenty-two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 800 808 1000 1010 1616 2000 2020 2525 3232 4000 4040 5050 8080 10100 12625 16160 20200 25250 30253 40400 50500 60506 80800 101000 121012 151265 202000 242024 302530 404000 484048 605060 756325 968096 1210120 1512650 2420240 3025300 3055553 3781625 4840480 6050600 6111106 7563250 12101200 12222212 15126500 15277765 24202400 24444424 30253000 30555530 48888848 60506000 61111060 76388825 97777696 121012000 122222120 152777650 244444240 305555300 381944125 488888480 611110600 763888250 1222221200 1527776500 2444442400 3055553000 6111106000 12222212000