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212222010000 = 243547111337191
BaseRepresentation
bin1100010110100101101…
…0101110001010010000
3202021210010011010022110
43011221122232022100
511434112313310000
6241254330105320
721222026215140
oct3055132561220
9667703133273
10212222010000
1182003879210
123516887b240
1317021476260
14a3b33b0920
1557c144a850
hex31696ae290

212222010000 has 1600 divisors, whose sum is σ = 949635219456. Its totient is φ = 39398400000.

The previous prime is 212222009977. The next prime is 212222010001. The reversal of 212222010000 is 10222212.

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

It is not an unprimeable number, because it can be changed into a prime (212222010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1111109905 + ... + 1111110095.

Almost surely, 2212222010000 is an apocalyptic number.

212222010000 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 212222010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474817609728).

212222010000 is an abundant number, since it is smaller than the sum of its proper divisors (737413209456).

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

212222010000 is a wasteful number, since it uses less digits than its factorization.

212222010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212222010000 its reverse (10222212), we get a palindrome (212232232212).

The spelling of 212222010000 in words is "two hundred twelve billion, two hundred twenty-two million, ten thousand".