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212112222313200 = 243521135671450481
BaseRepresentation
bin110000001110101000111001…
…101010011101101011110000
31000211000201201110210100100020
4300032220321222131223300
5210300221312403010300
62031043002033123440
762451413414261646
oct6016507152355360
91024021643710306
10212112222313200
1161649319818040
121b95892a0b9580
1391481346c0291
143a544019d1196
15197c7d42308a0
hexc0ea39a9daf0

212112222313200 has 240 divisors, whose sum is σ = 741258227603712. Its totient is φ = 51419589120000.

The previous prime is 212112222313193. The next prime is 212112222313207. The reversal of 212112222313200 is 2313222211212.

212112222313200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212112222313193) and next prime (212112222313207).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112222313207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 470631960 + ... + 471082440.

Almost surely, 2212112222313200 is an apocalyptic number.

212112222313200 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 212112222313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370629113801856).

212112222313200 is an abundant number, since it is smaller than the sum of its proper divisors (529146005290512).

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

212112222313200 is a wasteful number, since it uses less digits than its factorization.

212112222313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486184 (or 486173 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 212112222313200 its reverse (2313222211212), we get a palindrome (214425444524412).

The spelling of 212112222313200 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred twenty-two million, three hundred thirteen thousand, two hundred".