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12010112200200 = 23352311279115581
BaseRepresentation
bin1010111011000101001001…
…1110001010111000001000
31120112011012100222002122210
42232301102132022320020
53033233202210401300
641313211441345120
72346462530211522
oct256612236127010
946464170862583
1012010112200200
113910507263554
12141b7823381a0
136917197029ba
142d74149caa12
1515c625a93050
hexaec5278ae08

12010112200200 has 384 divisors, whose sum is σ = 38784443351040. Its totient is φ = 3071053440000.

The previous prime is 12010112200033. The next prime is 12010112200211. The reversal of 12010112200200 is 200221101021.

It is a super-2 number, since 2×120101122002002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2151961410 + ... + 2151966990.

It is an arithmetic number, because the mean of its divisors is an integer number (101001154560).

Almost surely, 212010112200200 is an apocalyptic number.

12010112200200 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 12010112200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19392221675520).

12010112200200 is an abundant number, since it is smaller than the sum of its proper divisors (26774331150840).

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

12010112200200 is a wasteful number, since it uses less digits than its factorization.

12010112200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6669 (or 6660 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12010112200200 its reverse (200221101021), we get a palindrome (12210333301221).

The spelling of 12010112200200 in words is "twelve trillion, ten billion, one hundred twelve million, two hundred thousand, two hundred".