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212001031222200 = 2332521123747295563
BaseRepresentation
bin110000001101000001010110…
…001010000111001110111000
31000210122002201101010200021200
4300031001112022013032320
5210241411102443102300
62030515532414134200
762440366120506663
oct6015012612071670
91023562641120250
10212001031222200
11616061502a6700
121b93b2784b1360
13913a7c44caccc
143a4cc9455a6da
1519799777ac200
hexc0d0562873b8

212001031222200 has 864 divisors, whose sum is σ = 804043980339600. Its totient is φ = 49985596108800.

The previous prime is 212001031222147. The next prime is 212001031222241. The reversal of 212001031222200 is 2222130100212.

212001031222200 is a `hidden beast` number, since 2 + 1 + 200 + 10 + 31 + 222 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 38109116619 + ... + 38109122181.

Almost surely, 2212001031222200 is an apocalyptic number.

212001031222200 is a gapful number since it is divisible by the number (20) 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 212001031222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402021990169800).

212001031222200 is an abundant number, since it is smaller than the sum of its proper divisors (592042949117400).

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

212001031222200 is a wasteful number, since it uses less digits than its factorization.

212001031222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10373 (or 10350 counting only the distinct ones).

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

Adding to 212001031222200 its reverse (2222130100212), we get a palindrome (214223161322412).

The spelling of 212001031222200 in words is "two hundred twelve trillion, one billion, thirty-one million, two hundred twenty-two thousand, two hundred".