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212012232000 = 2635342120983
BaseRepresentation
bin1100010101110011101…
…0011110110101000000
3202021020111102021222220
43011130322132311000
511433200112411000
6241221433531040
721213601144362
oct3053472366500
9667214367886
10212012232000
1181a06417968
123510a573a80
1316cb9b7746a
14a3935a4d32
1557acd0e1a0
hex315ce9ed40

212012232000 has 224 divisors, whose sum is σ = 701760693504. Its totient is φ = 56399616000.

The previous prime is 212012231969. The next prime is 212012232001. The reversal of 212012232000 is 232210212.

It is a happy number.

212012232000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (212012232001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10093509 + ... + 10114491.

Almost surely, 2212012232000 is an apocalyptic number.

212012232000 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 212012232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350880346752).

212012232000 is an abundant number, since it is smaller than the sum of its proper divisors (489748461504).

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

212012232000 is a wasteful number, since it uses less digits than its factorization.

212012232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21434 (or 21414 counting only the distinct ones).

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

Adding to 212012232000 its reverse (232210212), we get a palindrome (212244442212).

The spelling of 212012232000 in words is "two hundred twelve billion, twelve million, two hundred thirty-two thousand".