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132011221200 = 24352433676971
BaseRepresentation
bin111101011110001111…
…0110110000011010000
3110121202002101212102220
41322330132312003100
54130324333034300
6140351202341040
712352234603005
oct1727436660320
9417662355386
10132011221200
1150a92990411
122170235a780
13c5aa77a551
1465646458ac
1536796e0da0
hex1ebc7b60d0

132011221200 has 240 divisors, whose sum is σ = 433951558656. Its totient is φ = 34285708800.

The previous prime is 132011221187. The next prime is 132011221207. The reversal of 132011221200 is 2122110231.

It is a tau number, because it is divible by the number of its divisors (240).

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 132011221200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132011221207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18933715 + ... + 18940685.

Almost surely, 2132011221200 is an apocalyptic number.

132011221200 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 132011221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216975779328).

132011221200 is an abundant number, since it is smaller than the sum of its proper divisors (301940337456).

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

132011221200 is a wasteful number, since it uses less digits than its factorization.

132011221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7402 (or 7391 counting only the distinct ones).

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

Adding to 132011221200 its reverse (2122110231), we get a palindrome (134133331431).

The spelling of 132011221200 in words is "one hundred thirty-two billion, eleven million, two hundred twenty-one thousand, two hundred".