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12220030302120 = 23325431547143981
BaseRepresentation
bin1011000111010011001010…
…0100001011011110101000
31121021020000220220120020100
42301310302210023132220
53100203110224131440
641553445431025400
72400603512510544
oct261646244133650
947236026816210
1012220030302120
1139915385914a3
1214543a750b260
136a8461766024
14303649dd2a24
15162d0eae9230
hexb1d3290b7a8

12220030302120 has 192 divisors, whose sum is σ = 39880295619840. Its totient is φ = 3245147942400.

The previous prime is 12220030302049. The next prime is 12220030302127. The reversal of 12220030302120 is 2120303002221.

12220030302120 is a `hidden beast` number, since 12 + 2 + 200 + 30 + 302 + 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 = 12220030302093 and 12220030302102.

It is not an unprimeable number, because it can be changed into a prime (12220030302127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84800530 + ... + 84944510.

It is an arithmetic number, because the mean of its divisors is an integer number (207709873020).

Almost surely, 212220030302120 is an apocalyptic number.

12220030302120 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 12220030302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19940147809920).

12220030302120 is an abundant number, since it is smaller than the sum of its proper divisors (27660265317720).

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

12220030302120 is a wasteful number, since it uses less digits than its factorization.

12220030302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144976 (or 144969 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12220030302120 its reverse (2120303002221), we get a palindrome (14340333304341).

The spelling of 12220030302120 in words is "twelve trillion, two hundred twenty billion, thirty million, three hundred two thousand, one hundred twenty".