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212011002000000 = 27325671682627
BaseRepresentation
bin110000001101001010101000…
…011101100111001010000000
31000210200001110020220200002100
4300031022220131213022000
5210242042013003000000
62030524302034350400
762441201161643010
oct6015125035471200
91023601406820070
10212011002000000
116160a3a7571635
121b94119b72b400
13913b723126528
143a4d55c873c40
151979d5cce6a00
hexc0d2a8767280

212011002000000 has 672 divisors, whose sum is σ = 871537566051360. Its totient is φ = 48459628800000.

The previous prime is 212011001999999. The next prime is 212011002000001. The reversal of 212011002000000 is 200110212.

It is an interprime number because it is at equal distance from previous prime (212011001999999) and next prime (212011002000001).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (212011002000001) 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 83 ways as a sum of consecutive naturals, for example, 125158687 + ... + 126841313.

Almost surely, 2212011002000000 is an apocalyptic number.

212011002000000 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 212011002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435768783025680).

212011002000000 is an abundant number, since it is smaller than the sum of its proper divisors (659526564051360).

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

212011002000000 is an frugal number, since it uses more digits than its factorization.

212011002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682684 (or 1682644 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 212011002000000 its reverse (200110212), we get a palindrome (212011202110212).

The spelling of 212011002000000 in words is "two hundred twelve trillion, eleven billion, two million", and thus it is an aban number.