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132210012000 = 25353118231217
BaseRepresentation
bin111101100100001010…
…1001010111101100000
3110122020221110111011010
41323020111022331200
54131231230341000
6140423023220520
712360200363013
oct1731025127540
9418227414133
10132210012000
1151085117930
1221758a47740
13c60ca00341
146582bd137a
15368bdabd50
hex1ec854af60

132210012000 has 384 divisors, whose sum is σ = 473457374208. Its totient is φ = 31985664000.

The previous prime is 132210011867. The next prime is 132210012019. The reversal of 132210012000 is 210012231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108635392 + ... + 108636608.

It is an arithmetic number, because the mean of its divisors is an integer number (1232961912).

Almost surely, 2132210012000 is an apocalyptic number.

132210012000 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 132210012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236728687104).

132210012000 is an abundant number, since it is smaller than the sum of its proper divisors (341247362208).

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

132210012000 is a wasteful number, since it uses less digits than its factorization.

132210012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 132210012000 its reverse (210012231), we get a palindrome (132420024231).

The spelling of 132210012000 in words is "one hundred thirty-two billion, two hundred ten million, twelve thousand".