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132222212100000 = 2532551137834349
BaseRepresentation
bin11110000100000101100001…
…111110111100111110100000
3122100011022122022010102012200
4132010011201332330332200
5114312312042244200000
61145114013511253200
736564511450663551
oct3604054176747640
9570138568112180
10132222212100000
1139148141782750
12129b567337a200
1358a1668bc0359
142491836b22328
15104460aa73500
hex784161fbcfa0

132222212100000 has 1728 divisors, whose sum is σ = 533027390313600. Its totient is φ = 30804710400000.

The previous prime is 132222212099983. The next prime is 132222212100023. The reversal of 132222212100000 is 1212222231.

132222212100000 is a `hidden beast` number, since 1 + 322 + 222 + 121 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30402897826 + ... + 30402902174.

It is an arithmetic number, because the mean of its divisors is an integer number (308464924950).

Almost surely, 2132222212100000 is an apocalyptic number.

132222212100000 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 132222212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266513695156800).

132222212100000 is an abundant number, since it is smaller than the sum of its proper divisors (400805178213600).

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

132222212100000 is a wasteful number, since it uses less digits than its factorization.

132222212100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4521 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 132222212100000 its reverse (1212222231), we get a palindrome (132223424322231).

The spelling of 132222212100000 in words is "one hundred thirty-two trillion, two hundred twenty-two billion, two hundred twelve million, one hundred thousand".