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12013301223000 = 233253711115115061
BaseRepresentation
bin1010111011010001000010…
…0011010100111001011000
31120112110102121200020112100
42232310100203110321120
53033311220103114000
641314500121243400
72346634542362220
oct256642043247130
946473377606470
1012013301223000
1139118a3399590
121420312333560
13691b072c9c3c
142d7638359080
1515c760a23a00
hexaed108d4e58

12013301223000 has 768 divisors, whose sum is σ = 50671710535680. Its totient is φ = 2493936000000.

The previous prime is 12013301222953. The next prime is 12013301223029. The reversal of 12013301223000 is 32210331021.

12013301223000 is a `hidden beast` number, since 1 + 20 + 1 + 330 + 12 + 2 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 797635470 + ... + 797650530.

It is an arithmetic number, because the mean of its divisors is an integer number (65978789760).

Almost surely, 212013301223000 is an apocalyptic number.

12013301223000 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 12013301223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25335855267840).

12013301223000 is an abundant number, since it is smaller than the sum of its proper divisors (38658409312680).

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

12013301223000 is a wasteful number, since it uses less digits than its factorization.

12013301223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16257 (or 16240 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12013301223000 its reverse (32210331021), we get a palindrome (12045511554021).

The spelling of 12013301223000 in words is "twelve trillion, thirteen billion, three hundred one million, two hundred twenty-three thousand".