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12001221210000 = 2435411379710133
BaseRepresentation
bin1010111010100100000010…
…0001101110111110010000
31120111022020201222222222110
42232221000201232332100
53033112000112210000
641305141312505320
72346026310066351
oct256510041567620
946438221888873
1012001221210000
113907764557a70
121419b0084b240
136909306cc159
142d6c0dc6dd28
1515c2a524a850
hexaea4086ef90

12001221210000 has 800 divisors, whose sum is σ = 43857567186048. Its totient is φ = 2801295360000.

The previous prime is 12001221209977. The next prime is 12001221210023. The reversal of 12001221210000 is 1212210021.

It is an interprime number because it is at equal distance from previous prime (12001221209977) and next prime (12001221210023).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1184364934 + ... + 1184375066.

Almost surely, 212001221210000 is an apocalyptic number.

12001221210000 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 12001221210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21928783593024).

12001221210000 is an abundant number, since it is smaller than the sum of its proper divisors (31856345976048).

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

12001221210000 is a wasteful number, since it uses less digits than its factorization.

12001221210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10309 (or 10288 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12001221210000 its reverse (1212210021), we get a palindrome (12002433420021).

It can be divided in two parts, 12001221 and 210000, that added together give a palindrome (12211221).

The spelling of 12001221210000 in words is "twelve trillion, one billion, two hundred twenty-one million, two hundred ten thousand".