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12312121100 = 22522914292971
BaseRepresentation
bin10110111011101110…
…00000111100001100
31011210001102120000012
423131313000330030
5200203400333400
65353415252352
7614051205536
oct133567007414
934701376005
1012312121100
1152489648a4
12247737a0b8
131212a17776
1484b268856
154c0d75d35
hex2dddc0f0c

12312121100 has 72 divisors (see below), whose sum is σ = 27667239600. Its totient is φ = 4750099200.

The previous prime is 12312121093. The next prime is 12312121139. The reversal of 12312121100 is 112121321.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4142615 + ... + 4145585.

Almost surely, 212312121100 is an apocalyptic number.

12312121100 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 12312121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13833619800).

12312121100 is an abundant number, since it is smaller than the sum of its proper divisors (15355118500).

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

12312121100 is a wasteful number, since it uses less digits than its factorization.

12312121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4443 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12312121100 its reverse (112121321), we get a palindrome (12424242421).

The spelling of 12312121100 in words is "twelve billion, three hundred twelve million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1429 1450 2858 2900 2971 5716 5942 7145 11884 14290 14855 28580 29710 35725 41441 59420 71450 74275 82882 86159 142900 148550 165764 172318 207205 297100 344636 414410 430795 828820 861590 1036025 1723180 2072050 2153975 4144100 4245559 4307950 8491118 8615900 16982236 21227795 42455590 84911180 106138975 123121211 212277950 246242422 424555900 492484844 615606055 1231212110 2462424220 3078030275 6156060550 12312121100