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212032221000000 = 26356359196873
BaseRepresentation
bin110000001101011110011001…
…001101101011000101000000
31000210202002020001012112222020
4300031132121031223011000
5210242413442034000000
62030542131351241440
762442552045320532
oct6015363115530500
91023662201175866
10212032221000000
11616183a60a4375
121b945321979280
13914072521882b
143a505b29d3852
15197a6a0aa2ba0
hexc0d79936b140

212032221000000 has 392 divisors, whose sum is σ = 703200317670720. Its totient is φ = 56384140800000.

The previous prime is 212032220999971. The next prime is 212032221000001. The reversal of 212032221000000 is 122230212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212032221000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1076901564 + ... + 1077098436.

Almost surely, 2212032221000000 is an apocalyptic number.

212032221000000 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 212032221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351600158835360).

212032221000000 is an abundant number, since it is smaller than the sum of its proper divisors (491168096670720).

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

212032221000000 is an frugal number, since it uses more digits than its factorization.

212032221000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197277 (or 197242 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 212032221000000 its reverse (122230212), we get a palindrome (212032343230212).

The spelling of 212032221000000 in words is "two hundred twelve trillion, thirty-two billion, two hundred twenty-one million", and thus it is an aban number.