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132012131200 = 27521271572069
BaseRepresentation
bin111101011110010001…
…0010100001110000000
3110121202011010002201121
41322330202110032000
54130330101144300
6140351234042024
712352245413035
oct1727442241600
9417664102647
10132012131200
1150a93452084
1221702719314
13c5aaa08801
14656480138c
15367982081a
hex1ebc894380

132012131200 has 192 divisors, whose sum is σ = 330932390400. Its totient is φ = 52030218240.

The previous prime is 132012131189. The next prime is 132012131299. The reversal of 132012131200 is 2131210231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 63803766 + ... + 63805834.

It is an arithmetic number, because the mean of its divisors is an integer number (1723606200).

Almost surely, 2132012131200 is an apocalyptic number.

132012131200 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 132012131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165466195200).

132012131200 is an abundant number, since it is smaller than the sum of its proper divisors (198920259200).

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

132012131200 is a wasteful number, since it uses less digits than its factorization.

132012131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 132012131200 its reverse (2131210231), we get a palindrome (134143341431).

The spelling of 132012131200 in words is "one hundred thirty-two billion, twelve million, one hundred thirty-one thousand, two hundred".