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221212012110120 = 233351932593307859
BaseRepresentation
bin110010010011000011101111…
…011001101110000100101000
31002000020122212110201002112000
4302103003233121232010220
5212443314200100010440
62102251221225251000
764411016610314613
oct6223035731560450
91060218773632460
10221212012110120
116453753a93a609
1220988453333a60
139658284672285
143c8aa0b85b17a
151a89373474730
hexc930ef66e128

221212012110120 has 256 divisors, whose sum is σ = 776420899200000. Its totient is φ = 55867975070976.

The previous prime is 221212012110119. The next prime is 221212012110157. The reversal of 221212012110120 is 21011210212122.

221212012110120 is a `hidden beast` number, since 2 + 212 + 120 + 1 + 211 + 0 + 120 = 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 = 221212012110093 and 221212012110102.

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, 65220751 + ... + 68528609.

It is an arithmetic number, because the mean of its divisors is an integer number (3032894137500).

Almost surely, 2221212012110120 is an apocalyptic number.

221212012110120 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 221212012110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388210449600000).

221212012110120 is an abundant number, since it is smaller than the sum of its proper divisors (555208887089880).

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

221212012110120 is a wasteful number, since it uses less digits than its factorization.

221212012110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311157 (or 3311147 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221212012110120 its reverse (21011210212122), we get a palindrome (242223222322242).

The spelling of 221212012110120 in words is "two hundred twenty-one trillion, two hundred twelve billion, twelve million, one hundred ten thousand, one hundred twenty".