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12201002000000 = 27561117219101
BaseRepresentation
bin1011000110001100010001…
…1000111101111010000000
31121012101220210210122212222
42301203010120331322000
53044400123003000000
641541021332310212
72366331126560222
oct261430430757200
947171823718788
1012201002000000
113984463605480
121450776a72368
136a671b499368
14302762bac412
1516259931da85
hexb18c463de80

12201002000000 has 1344 divisors, whose sum is σ = 37429536520800. Its totient is φ = 3916800000000.

The previous prime is 12201001999931. The next prime is 12201002000023. The reversal of 12201002000000 is 20010221.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 120801999950 + ... + 120802000050.

Almost surely, 212201002000000 is an apocalyptic number.

12201002000000 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 12201002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18714768260400).

12201002000000 is an abundant number, since it is smaller than the sum of its proper divisors (25228534520800).

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

12201002000000 is an equidigital number, since it uses as much as digits as its factorization.

12201002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 155 counting only the distinct ones).

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

Adding to 12201002000000 its reverse (20010221), we get a palindrome (12201022010221).

The spelling of 12201002000000 in words is "twelve trillion, two hundred one billion, two million", and thus it is an aban number.