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12230000313300 = 2232527111129915619
BaseRepresentation
bin1011000111111000010011…
…0100110000001111010100
31121022011202202020121102200
42301332010310300033110
53100334020040011200
642002215023004500
72401405544301540
oct261760464601724
947264682217380
1012230000313300
113995794383460
12145630a439730
136a9390183623
14303d1418aa20
151631e5031800
hexb1f84d303d4

12230000313300 has 432 divisors, whose sum is σ = 47800648896000. Its totient is φ = 2540911161600.

The previous prime is 12230000313287. The next prime is 12230000313301. The reversal of 12230000313300 is 331300003221.

12230000313300 is a `hidden beast` number, since 1 + 2 + 2 + 300 + 0 + 0 + 31 + 330 + 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 not an unprimeable number, because it can be changed into a prime (12230000313301) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 783012891 + ... + 783028509.

Almost surely, 212230000313300 is an apocalyptic number.

12230000313300 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 12230000313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23900324448000).

12230000313300 is an abundant number, since it is smaller than the sum of its proper divisors (35570648582700).

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

12230000313300 is a wasteful number, since it uses less digits than its factorization.

12230000313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26956 (or 26946 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12230000313300 its reverse (331300003221), we get a palindrome (12561300316521).

The spelling of 12230000313300 in words is "twelve trillion, two hundred thirty billion, three hundred thirteen thousand, three hundred".