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20000212022112 = 253722371236671
BaseRepresentation
bin1001000110000101010011…
…00010000111001101100000
32121211000001011102100022120
410203002221202013031200
510110140413234201422
6110311545350304240
74132652620130100
oct443025142071540
977730034370276
1020000212022112
116411051311423
1222b0212658080
13b210201ba0ca
144d203048d200
1524a3b87b745c
hex1230a9887360

20000212022112 has 432 divisors, whose sum is σ = 64639356880896. Its totient is φ = 5388765043200.

The previous prime is 20000212022111. The next prime is 20000212022113. The reversal of 20000212022112 is 21122021200002.

It is an interprime number because it is at equal distance from previous prime (20000212022111) and next prime (20000212022113).

It is a junction number, because it is equal to n+sod(n) for n = 20000212022091 and 20000212022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000212022111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 545377537 + ... + 545414207.

It is an arithmetic number, because the mean of its divisors is an integer number (149628140928).

Almost surely, 220000212022112 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 20000212022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32319678440448).

20000212022112 is an abundant number, since it is smaller than the sum of its proper divisors (44639144858784).

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

20000212022112 is a wasteful number, since it uses less digits than its factorization.

20000212022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36863 (or 36777 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20000212022112 its reverse (21122021200002), we get a palindrome (41122233222114).

The spelling of 20000212022112 in words is "twenty trillion, two hundred twelve million, twenty-two thousand, one hundred twelve".