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132201211200 = 26352312573457
BaseRepresentation
bin111101100011111001…
…1100110010101000000
3110122020022220100201120
41323013303212111000
54131222002224300
6140422110432240
712360032516502
oct1730763462500
9418208810646
10132201211200
1151080156743
1221755b02680
13c60ac3b576
14658197dd72
15368b21e3a0
hex1ec7ce6540

132201211200 has 336 divisors, whose sum is σ = 449593557504. Its totient is φ = 33973862400.

The previous prime is 132201211171. The next prime is 132201211201. The reversal of 132201211200 is 2112102231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132201211200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132201211201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38239872 + ... + 38243328.

It is an arithmetic number, because the mean of its divisors is an integer number (1338076064).

Almost surely, 2132201211200 is an apocalyptic number.

132201211200 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 132201211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224796778752).

132201211200 is an abundant number, since it is smaller than the sum of its proper divisors (317392346304).

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

132201211200 is a wasteful number, since it uses less digits than its factorization.

132201211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 132201211200 its reverse (2112102231), we get a palindrome (134313313431).

The spelling of 132201211200 in words is "one hundred thirty-two billion, two hundred one million, two hundred eleven thousand, two hundred".