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12230011200000 = 29355111973167
BaseRepresentation
bin1011000111111000010101…
…1110010010001000000000
31121022011210111201201011210
42301332011132102020000
53100334030331400000
642002220052210120
72401406035653306
oct261760536221000
947264714651153
1012230011200000
11399579a539830
121456312009940
136a93924c5969
14303d157c2276
151631e5e82350
hexb1f85792200

12230011200000 has 1920 divisors, whose sum is σ = 47689207695360. Its totient is φ = 2753740800000.

The previous prime is 12230011199971. The next prime is 12230011200023. The reversal of 12230011200000 is 211003221.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 73233599917 + ... + 73233600083.

It is an arithmetic number, because the mean of its divisors is an integer number (24838129008).

Almost surely, 212230011200000 is an apocalyptic number.

12230011200000 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 12230011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23844603847680).

12230011200000 is an abundant number, since it is smaller than the sum of its proper divisors (35459196495360).

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

12230011200000 is an equidigital number, since it uses as much as digits as its factorization.

12230011200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12230011200000 its reverse (211003221), we get a palindrome (12230222203221).

The spelling of 12230011200000 in words is "twelve trillion, two hundred thirty billion, eleven million, two hundred thousand".