Search a number
-
+
2212112120076 = 223259611131391087
BaseRepresentation
bin100000001100001100001…
…010000011100100001100
321211110211220012222122100
4200030030022003210030
5242220401200320301
64412121423515100
7315551125530345
oct40141412034414
97743756188570
102212112120076
11783173693081
122b887ba58a90
131307a80133b1
14790d14170cc
153c81e96d286
hex2030c28390c

2212112120076 has 288 divisors, whose sum is σ = 5878223769600. Its totient is φ = 700950620160.

The previous prime is 2212112120059. The next prime is 2212112120077. The reversal of 2212112120076 is 6700212112122.

It is a happy number.

2212112120076 is a `hidden beast` number, since 221 + 211 + 21 + 200 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (2212112120077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2035061205 + ... + 2035062291.

It is an arithmetic number, because the mean of its divisors is an integer number (20410499200).

Almost surely, 22212112120076 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 2212112120076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939111884800).

2212112120076 is an abundant number, since it is smaller than the sum of its proper divisors (3666111649524).

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

2212112120076 is a wasteful number, since it uses less digits than its factorization.

2212112120076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 2212112120076 its reverse (6700212112122), we get a palindrome (8912324232198).

The spelling of 2212112120076 in words is "two trillion, two hundred twelve billion, one hundred twelve million, one hundred twenty thousand, seventy-six".