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12213313000200 = 23325213836288391
BaseRepresentation
bin1011000110111010001000…
…1011101101001100001000
31121020120200210010021022100
42301232202023231030020
53100100331112001300
641550415111553400
72400245165420124
oct261564213551410
947216623107270
1012213313000200
113989700874104
12145303198b860
136a7930bb0870
143031adc24584
15162a6a022700
hexb1ba22ed308

12213313000200 has 288 divisors, whose sum is σ = 44703675656640. Its totient is φ = 2970132364800.

The previous prime is 12213313000183. The next prime is 12213313000243. The reversal of 12213313000200 is 200031331221.

12213313000200 is a `hidden beast` number, since 12 + 2 + 1 + 331 + 300 + 0 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1201996 + ... + 5086395.

It is an arithmetic number, because the mean of its divisors is an integer number (155221096030).

Almost surely, 212213313000200 is an apocalyptic number.

12213313000200 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 12213313000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22351837828320).

12213313000200 is an abundant number, since it is smaller than the sum of its proper divisors (32490362656440).

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

12213313000200 is a wasteful number, since it uses less digits than its factorization.

12213313000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6288509 (or 6288497 counting only the distinct ones).

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

Adding to 12213313000200 its reverse (200031331221), we get a palindrome (12413344331421).

The spelling of 12213313000200 in words is "twelve trillion, two hundred thirteen billion, three hundred thirteen million, two hundred", and thus it is an aban number.