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12211210000 = 245411313581
BaseRepresentation
bin10110101111101100…
…00100011100010000
31011112000112202000001
423113312010130100
5200002032210000
65335412335344
7611414400223
oct132766043420
934460482001
1012211210000
1151a6a008a0
122449614554
1311c7b45362
1483babb5ba
154b709146a
hex2d7d84710

12211210000 has 200 divisors, whose sum is σ = 33301939968. Its totient is φ = 4296000000.

The previous prime is 12211209991. The next prime is 12211210009. The reversal of 12211210000 is 1211221.

It is an interprime number because it is at equal distance from previous prime (12211209991) and next prime (12211210009).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×122112100002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12211210009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3408210 + ... + 3411790.

Almost surely, 212211210000 is an apocalyptic number.

12211210000 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 12211210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16650969984).

12211210000 is an abundant number, since it is smaller than the sum of its proper divisors (21090729968).

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

12211210000 is a wasteful number, since it uses less digits than its factorization.

12211210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12211210000 its reverse (1211221), we get a palindrome (12212421221).

The spelling of 12211210000 in words is "twelve billion, two hundred eleven million, two hundred ten thousand".