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12001201200 = 2432524337699
BaseRepresentation
bin10110010110101001…
…11100110000110000
31010222101101012002100
423023110330300300
5144034301414300
65302511220400
7603254345532
oct131324746060
933871335070
1012001201200
1150a94020aa
1223ab217700
1311934954b1
1481bc51852
154a390b700
hex2cb53cc30

12001201200 has 180 divisors, whose sum is σ = 41749107400. Its totient is φ = 3192514560.

The previous prime is 12001201189. The next prime is 12001201231. The reversal of 12001201200 is 210210021.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1554951 + ... + 1562649.

Almost surely, 212001201200 is an apocalyptic number.

12001201200 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 12001201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20874553700).

12001201200 is an abundant number, since it is smaller than the sum of its proper divisors (29747906200).

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

12001201200 is a wasteful number, since it uses less digits than its factorization.

12001201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8156 (or 8142 counting only the distinct ones).

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

Adding to 12001201200 its reverse (210210021), we get a palindrome (12211411221).

The spelling of 12001201200 in words is "twelve billion, one million, two hundred one thousand, two hundred".