Search a number
-
+
212110122120 = 233513283126013
BaseRepresentation
bin1100010110001010111…
…1111001110010001000
3202021111022121121222220
43011202233321302020
511433400142401440
6241235252014040
721216200201331
oct3054257716210
9667438547886
10212110122120
1181a566a8196
1235137301320
131700422c800
14a3a25a7288
1557b66e88d0
hex3162bf9c88

212110122120 has 192 divisors, whose sum is σ = 697351394880. Its totient is φ = 51582256128.

The previous prime is 212110122113. The next prime is 212110122131. The reversal of 212110122120 is 21221011212.

212110122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121101221202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212110122120.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1620234 + ... + 1746246.

It is an arithmetic number, because the mean of its divisors is an integer number (3632038515).

Almost surely, 2212110122120 is an apocalyptic number.

212110122120 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 212110122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348675697440).

212110122120 is an abundant number, since it is smaller than the sum of its proper divisors (485241272760).

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

212110122120 is a wasteful number, since it uses less digits than its factorization.

212110122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126136 (or 126119 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212110122120 its reverse (21221011212), we get a palindrome (233331133332).

The spelling of 212110122120 in words is "two hundred twelve billion, one hundred ten million, one hundred twenty-two thousand, one hundred twenty".