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12210321021120 = 26325113151248473
BaseRepresentation
bin1011000110101110111111…
…0110001101100011000000
31121020021222021011222121100
42301223233312031203000
53100023214140133440
641545202151254400
72400111065132055
oct261535766154300
947207867158540
1012210321021120
113988405991a22
12145253797a400
136a7575077141
14302da870902c
15162942515230
hexb1aefd8d8c0

12210321021120 has 336 divisors, whose sum is σ = 42650852317632. Its totient is φ = 3205885132800.

The previous prime is 12210321021089. The next prime is 12210321021163. The reversal of 12210321021120 is 2112012301221.

12210321021120 is a `hidden beast` number, since 1 + 221 + 0 + 3 + 210 + 211 + 20 = 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 = 12210321021093 and 12210321021102.

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 47 ways as a sum of consecutive naturals, for example, 49017204 + ... + 49265676.

Almost surely, 212210321021120 is an apocalyptic number.

12210321021120 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 12210321021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21325426158816).

12210321021120 is an abundant number, since it is smaller than the sum of its proper divisors (30440531296512).

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

12210321021120 is a wasteful number, since it uses less digits than its factorization.

12210321021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248760 (or 248747 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12210321021120 its reverse (2112012301221), we get a palindrome (14322333322341).

The spelling of 12210321021120 in words is "twelve trillion, two hundred ten billion, three hundred twenty-one million, twenty-one thousand, one hundred twenty".