Search a number
-
+
12011210222220 = 223351112979155797
BaseRepresentation
bin1010111011001001001111…
…1010110010101010001100
31120112021000220002101201000
42232302103322302222030
53033242424304102340
641313512424020300
72346531662226066
oct256622372625214
946467026071630
1012011210222220
113910a20047770
12141ba2a001690
13691863040281
142d74ba772736
1515c68c187d30
hexaec93eb2a8c

12011210222220 has 192 divisors, whose sum is σ = 40768722086400. Its totient is φ = 2911565502720.

The previous prime is 12011210222101. The next prime is 12011210222237. The reversal of 12011210222220 is 2222201211021.

It is a happy number.

12011210222220 is a `hidden beast` number, since 1 + 2 + 0 + 11 + 210 + 222 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12011210222193 and 12011210222202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77017362 + ... + 77173158.

It is an arithmetic number, because the mean of its divisors is an integer number (212337094200).

Almost surely, 212011210222220 is an apocalyptic number.

12011210222220 is a gapful number since it is divisible by the number (10) 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 12011210222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20384361043200).

12011210222220 is an abundant number, since it is smaller than the sum of its proper divisors (28757511864180).

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

12011210222220 is a wasteful number, since it uses less digits than its factorization.

12011210222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168805 (or 168797 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12011210222220 its reverse (2222201211021), we get a palindrome (14233411433241).

The spelling of 12011210222220 in words is "twelve trillion, eleven billion, two hundred ten million, two hundred twenty-two thousand, two hundred twenty".