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12011020200 = 2334521743613
BaseRepresentation
bin10110010111110100…
…11001111110101000
31011000001212001020000
423023322121332220
5144044310121300
65303501503000
7603433662414
oct131372317650
934001761200
1012011020200
1151039a9283
1223b2571a60
13119552285a
1481d289d44
154a46eac00
hex2cbe99fa8

12011020200 has 240 divisors, whose sum is σ = 44170950780. Its totient is φ = 3014461440.

The previous prime is 12011020139. The next prime is 12011020201. The reversal of 12011020200 is 202011021.

It can be written as a sum of positive squares in 6 ways, for example, as 7687431684 + 4323588516 = 87678^2 + 65754^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12011020201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 253594 + ... + 297206.

Almost surely, 212011020200 is an apocalyptic number.

12011020200 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 12011020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22085475390).

12011020200 is an abundant number, since it is smaller than the sum of its proper divisors (32159930580).

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

12011020200 is a wasteful number, since it uses less digits than its factorization.

12011020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43658 (or 43640 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12011020200 its reverse (202011021), we get a palindrome (12213031221).

The spelling of 12011020200 in words is "twelve billion, eleven million, twenty thousand, two hundred".