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12213000312 = 2333126216263
BaseRepresentation
bin10110101111111001…
…11001100001111000
31011112010220200211220
423113330321201320
5200003012002222
65335514552040
7611435534622
oct132774714170
934463820756
1012213000312
1151a7a13997
12244a138620
1311c8321206
1483c025c12
154b72e6b5c
hex2d7f39878

12213000312 has 64 divisors (see below), whose sum is σ = 31534479360. Its totient is φ = 3937545600.

The previous prime is 12213000307. The next prime is 12213000313. The reversal of 12213000312 is 21300031221.

It is a junction number, because it is equal to n+sod(n) for n = 12213000291 and 12213000300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213000313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1946893 + ... + 1953155.

It is an arithmetic number, because the mean of its divisors is an integer number (492726240).

Almost surely, 212213000312 is an apocalyptic number.

12213000312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12213000312 is an abundant number, since it is smaller than the sum of its proper divisors (19321479048).

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

12213000312 is a wasteful number, since it uses less digits than its factorization.

12213000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8924 (or 8920 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12213000312 its reverse (21300031221), we get a palindrome (33513031533).

The spelling of 12213000312 in words is "twelve billion, two hundred thirteen million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 2621 5242 6263 7863 10484 12526 15726 18789 20968 25052 31452 37578 50104 62904 75156 81251 150312 162502 194153 243753 325004 388306 487506 582459 650008 776612 975012 1164918 1553224 1950024 2329836 4659672 16415323 32830646 49245969 65661292 98491938 131322584 196983876 393967752 508875013 1017750026 1526625039 2035500052 3053250078 4071000104 6106500156 12213000312