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1220121220191 = 34137326594329
BaseRepresentation
bin10001110000010100111…
…001000101010001011111
311022122100100100000001220
4101300110321011101133
5124442302013021231
62332303240104423
7154102512152406
oct21602471052137
94278310300056
101220121220191
114304a5690695
12178574165113
138b098125a63
14430a896663d
1521b113ed896
hex11c14e4545f

1220121220191 has 16 divisors (see below), whose sum is σ = 1670974942560. Its totient is φ = 791447201280.

The previous prime is 1220121220189. The next prime is 1220121220229. The reversal of 1220121220191 is 1910221210221.

It is not a de Polignac number, because 1220121220191 - 21 = 1220121220189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220121220121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13251286 + ... + 13343043.

It is an arithmetic number, because the mean of its divisors is an integer number (104435933910).

Almost surely, 21220121220191 is an apocalyptic number.

1220121220191 is a deficient number, since it is larger than the sum of its proper divisors (450853722369).

1220121220191 is a wasteful number, since it uses less digits than its factorization.

1220121220191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26594746.

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 1220121220191 in words is "one trillion, two hundred twenty billion, one hundred twenty-one million, two hundred twenty thousand, one hundred ninety-one".

Divisors: 1 3 41 123 373 1119 15293 45879 26594329 79782987 1090367489 3271102467 9919684717 29759054151 406707073397 1220121220191