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212012001222112 = 2571317731032812027
BaseRepresentation
bin110000001101001011100100…
…000001010101110111100000
31000210200011000220010102010201
4300031023210001111313200
5210242101034303101422
62030524545131234544
762441235014124010
oct6015134401256740
91023604026112121
10212012001222112
116160a86a603a33
121b94141a2a8a54
13913b852150610
143a4d61545bc40
151979dba8c2727
hexc0d2e4055de0

212012001222112 has 768 divisors, whose sum is σ = 559001785724928. Its totient is φ = 76789634826240.

The previous prime is 212012001222059. The next prime is 212012001222113. The reversal of 212012001222112 is 211222100210212.

It is a self number, because there is not a number n which added to its sum of digits gives 212012001222112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212012001222113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104593980843 + ... + 104593982869.

It is an arithmetic number, because the mean of its divisors is an integer number (727866908496).

Almost surely, 2212012001222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212012001222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279500892862464).

212012001222112 is an abundant number, since it is smaller than the sum of its proper divisors (346989784502816).

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

212012001222112 is a wasteful number, since it uses less digits than its factorization.

212012001222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 212012001222112 its reverse (211222100210212), we get a palindrome (423234101432324).

The spelling of 212012001222112 in words is "two hundred twelve trillion, twelve billion, one million, two hundred twenty-two thousand, one hundred twelve".