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12220102211220 = 2232567889456729
BaseRepresentation
bin1011000111010011011011…
…0110011111011010010100
31121021020012221012220222100
42301310312312133122110
53100203232131224340
641553500520202100
72400605344645221
oct261646666373224
947236187186870
1012220102211220
113991575136902
121454407609330
136a84736227a7
14303655790948
15162d160a0830
hexb1d36d9f694

12220102211220 has 36 divisors (see below), whose sum is σ = 37067643374580. Its totient is φ = 3258693922944.

The previous prime is 12220102211173. The next prime is 12220102211227. The reversal of 12220102211220 is 2211220102221.

It is a happy number.

12220102211220 is a `hidden beast` number, since 1 + 2 + 220 + 1 + 0 + 221 + 1 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7587259232004 + 4632842979216 = 2754498^2 + 2152404^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 12220102211193 and 12220102211202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220102211227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33944728185 + ... + 33944728544.

It is an arithmetic number, because the mean of its divisors is an integer number (1029656760405).

Almost surely, 212220102211220 is an apocalyptic number.

12220102211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220102211220 is an abundant number, since it is smaller than the sum of its proper divisors (24847541163360).

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

12220102211220 is a wasteful number, since it uses less digits than its factorization.

12220102211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67889456744 (or 67889456739 counting only the distinct ones).

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

Adding to 12220102211220 its reverse (2211220102221), we get a palindrome (14431322313441).

The spelling of 12220102211220 in words is "twelve trillion, two hundred twenty billion, one hundred two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 67889456729 135778913458 203668370187 271557826916 339447283645 407336740374 611005110561 678894567290 814673480748 1018341850935 1222010221122 1357789134580 2036683701870 2444020442244 3055025552805 4073367403740 6110051105610 12220102211220