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12202212000 = 253531197953
BaseRepresentation
bin10110101110100111…
…01111101010100000
31011111101121121001210
423113103233222200
5144442231241000
65334451430120
7611245043046
oct132723575240
934441547053
1012202212000
1151a1915530
1224465b5340
1311c60148b4
1483a818396
154b63b5350
hex2d74efaa0

12202212000 has 384 divisors, whose sum is σ = 44104290048. Its totient is φ = 2924544000.

The previous prime is 12202211963. The next prime is 12202212023. The reversal of 12202212000 is 21220221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12803524 + ... + 12804476.

It is an arithmetic number, because the mean of its divisors is an integer number (114854922).

Almost surely, 212202212000 is an apocalyptic number.

12202212000 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 12202212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22052145024).

12202212000 is an abundant number, since it is smaller than the sum of its proper divisors (31902078048).

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

12202212000 is a wasteful number, since it uses less digits than its factorization.

12202212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1071 counting only the distinct ones).

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

Adding to 12202212000 its reverse (21220221), we get a palindrome (12223432221).

It can be divided in two parts, 1220221 and 2000, that added together give a palindrome (1222221).

The spelling of 12202212000 in words is "twelve billion, two hundred two million, two hundred twelve thousand".