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12220211220320 = 255239319566193
BaseRepresentation
bin1011000111010011110101…
…0110010100111101100000
31121021020111112100011100102
42301310331112110331200
53100203443033022240
641553515412441532
72400611140342055
oct261647526247540
947236445304312
1012220211220320
113991620720a74
1214544380192a8
136a849009bb0c
1430366604902c
15162d20934815
hexb1d3d594f60

12220211220320 has 48 divisors (see below), whose sum is σ = 28991045119680. Its totient is φ = 4867632236544.

The previous prime is 12220211220277. The next prime is 12220211220353. The reversal of 12220211220320 is 2302211202221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12220211220292 and 12220211220301.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 159744857 + ... + 159821336.

It is an arithmetic number, because the mean of its divisors is an integer number (603980106660).

Almost surely, 212220211220320 is an apocalyptic number.

12220211220320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220211220320 is an abundant number, since it is smaller than the sum of its proper divisors (16770833899360).

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

12220211220320 is a wasteful number, since it uses less digits than its factorization.

12220211220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319566447 (or 319566439 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12220211220320 its reverse (2302211202221), we get a palindrome (14522422422541).

The spelling of 12220211220320 in words is "twelve trillion, two hundred twenty billion, two hundred eleven million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 239 478 956 1195 1912 2390 3824 4780 7648 9560 19120 38240 319566193 639132386 1278264772 1597830965 2556529544 3195661930 5113059088 6391323860 10226118176 12782647720 25565295440 51130590880 76376320127 152752640254 305505280508 381881600635 611010561016 763763201270 1222021122032 1527526402540 2444042244064 3055052805080 6110105610160 12220211220320