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12201231120000 = 27354133910651
BaseRepresentation
bin1011000110001101001000…
…0010111111011010000000
31121012102111202221011102220
42301203102002333122000
53044401110131320000
641541100155211040
72366336611216446
oct261432202773200
947172452834386
1012201231120000
11398457097774a
12145081b746a80
136a6756aaac20
143027853b0b96
151625ae4cb1a0
hexb18d20bf680

12201231120000 has 320 divisors, whose sum is σ = 43614250347360. Its totient is φ = 3003379200000.

The previous prime is 12201231119953. The next prime is 12201231120011. The reversal of 12201231120000 is 2113210221.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 39 ways as a sum of consecutive naturals, for example, 1164675 + ... + 5075325.

Almost surely, 212201231120000 is an apocalyptic number.

12201231120000 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 12201231120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21807125173680).

12201231120000 is an abundant number, since it is smaller than the sum of its proper divisors (31413019227360).

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

12201231120000 is an equidigital number, since it uses as much as digits as its factorization.

12201231120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910701 (or 3910674 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12201231120000 its reverse (2113210221), we get a palindrome (12203344330221).

The spelling of 12201231120000 in words is "twelve trillion, two hundred one billion, two hundred thirty-one million, one hundred twenty thousand".