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132212300022000 = 243253113779228443
BaseRepresentation
bin11110000011111100010011…
…001011011000000011110000
3122100010101001111210200101200
4132003330103023120003300
5114312131242301201000
61145105254145131200
736564011021501142
oct3603742313300360
9570111044720350
10132212300022000
1139143a1565a850
12129b3767929b00
1358a07494a8043
142491176528c92
15104422a781500
hex783f132d80f0

132212300022000 has 960 divisors, whose sum is σ = 523919098460160. Its totient is φ = 30790326528000.

The previous prime is 132212300021957. The next prime is 132212300022007. The reversal of 132212300022000 is 220003212231.

132212300022000 is a `hidden beast` number, since 1 + 322 + 123 + 0 + 0 + 0 + 220 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132212300022007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 578639779 + ... + 578868221.

It is an arithmetic number, because the mean of its divisors is an integer number (545749060896).

Almost surely, 2132212300022000 is an apocalyptic number.

132212300022000 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 132212300022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261959549230080).

132212300022000 is an abundant number, since it is smaller than the sum of its proper divisors (391706798438160).

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

132212300022000 is a wasteful number, since it uses less digits than its factorization.

132212300022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228599 (or 228580 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132212300022000 its reverse (220003212231), we get a palindrome (132432303234231).

The spelling of 132212300022000 in words is "one hundred thirty-two trillion, two hundred twelve billion, three hundred million, twenty-two thousand".