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12222210000 = 2435471121337
BaseRepresentation
bin10110110001000000…
…00001111111010000
31011112210020121011110
423120200001333100
5200012341210000
65340444213320
7611610033210
oct133040017720
934483217143
1012222210000
115202134300
12245123a240
1311ca1c7130
1483d342240
154b8015850
hex2d8801fd0

12222210000 has 1200 divisors, whose sum is σ = 54818352512. Its totient is φ = 2280960000.

The previous prime is 12222209983. The next prime is 12222210041. The reversal of 12222210000 is 1222221.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 330329982 + ... + 330330018.

Almost surely, 212222210000 is an apocalyptic number.

12222210000 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 12222210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27409176256).

12222210000 is an abundant number, since it is smaller than the sum of its proper divisors (42596142512).

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

12222210000 is a wasteful number, since it uses less digits than its factorization.

12222210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

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

Adding to 12222210000 its reverse (1222221), we get a palindrome (12223432221).

12222210000 divided by its reverse (1222221) gives a 4-th power (10000 = 104).

It can be divided in two parts, 12222 and 210000, that added together give a palindrome (222222).

The spelling of 12222210000 in words is "twelve billion, two hundred twenty-two million, two hundred ten thousand".