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12013201230300 = 2235521767434039
BaseRepresentation
bin1010111011010000101010…
…0101111000100111011100
31120112110011122112002100000
42232310022211320213130
53033311014003332200
641314442150134300
72346632216430264
oct256641245704734
946473148462300
1012013201230300
113911851a02596
1214202a4951390
13691abc68986a
142d7628d6a7a4
1515c756d71300
hexaed0a9789dc

12013201230300 has 432 divisors, whose sum is σ = 41963556660480. Its totient is φ = 2970069949440.

The previous prime is 12013201230269. The next prime is 12013201230301. The reversal of 12013201230300 is 303210231021.

12013201230300 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 320 + 12 + 30 + 300 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013201230301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27460681 + ... + 27894719.

It is an arithmetic number, because the mean of its divisors is an integer number (97137862640).

Almost surely, 212013201230300 is an apocalyptic number.

12013201230300 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 12013201230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20981778330240).

12013201230300 is an abundant number, since it is smaller than the sum of its proper divisors (29950355430180).

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

12013201230300 is a wasteful number, since it uses less digits than its factorization.

12013201230300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434152 (or 434133 counting only the distinct ones).

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

Adding to 12013201230300 its reverse (303210231021), we get a palindrome (12316411461321).

The spelling of 12013201230300 in words is "twelve trillion, thirteen billion, two hundred one million, two hundred thirty thousand, three hundred".