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211012000222112 = 252967113220313633
BaseRepresentation
bin101111111110101000001111…
…010100010000101110100000
31000200010112212002211011220122
4233332220033110100232200
5210124210034024101422
62024441324043255412
762306054034641345
oct5776501724205640
91020115762734818
10211012000222112
11612647610657a1
121b7bb657b1a568
1390984668c487b
143a1706cc347cc
15195dd8e00ed42
hexbfea0f510ba0

211012000222112 has 192 divisors, whose sum is σ = 440261235550080. Its totient is φ = 99406976385024.

The previous prime is 211012000222103. The next prime is 211012000222129. The reversal of 211012000222112 is 211222000210112.

211012000222112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15478024448 + ... + 15478038080.

It is an arithmetic number, because the mean of its divisors is an integer number (2293027268490).

Almost surely, 2211012000222112 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 211012000222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220130617775040).

211012000222112 is an abundant number, since it is smaller than the sum of its proper divisors (229249235327968).

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

211012000222112 is a wasteful number, since it uses less digits than its factorization.

211012000222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16055 (or 16047 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211012000222112 its reverse (211222000210112), we get a palindrome (422234000432224).

The spelling of 211012000222112 in words is "two hundred eleven trillion, twelve billion, two hundred twenty-two thousand, one hundred twelve".