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1222200122121 = 3211313710763257
BaseRepresentation
bin10001110010010000110…
…011011101101100001001
311022211201020011011101200
4101302100303131230021
5130011031212401441
62333245422134413
7154205154425106
oct21622063355411
94284636134350
101222200122121
11431372119460
12178a54421409
138b339a37744
1443224abdaad
1521bd3b997b6
hex11c90cddb09

1222200122121 has 48 divisors (see below), whose sum is σ = 2041746989568. Its totient is φ = 697458988800.

The previous prime is 1222200122083. The next prime is 1222200122137. The reversal of 1222200122121 is 1212210022221.

It is a happy number.

1222200122121 is a `hidden beast` number, since 1 + 222 + 200 + 1 + 221 + 21 = 666.

It is not a de Polignac number, because 1222200122121 - 211 = 1222200120073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1222200122094 and 1222200122103.

It is not an unprimeable number, because it can be changed into a prime (1222200122141) 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 47 ways as a sum of consecutive naturals, for example, 5268076 + ... + 5495181.

It is an arithmetic number, because the mean of its divisors is an integer number (42536395616).

Almost surely, 21222200122121 is an apocalyptic number.

1222200122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1222200122121 is a deficient number, since it is larger than the sum of its proper divisors (819546867447).

1222200122121 is a wasteful number, since it uses less digits than its factorization.

1222200122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10763342 (or 10763339 counting only the distinct ones).

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

Adding to 1222200122121 its reverse (1212210022221), we get a palindrome (2434410144342).

The spelling of 1222200122121 in words is "one trillion, two hundred twenty-two billion, two hundred million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 31 33 37 93 99 111 279 333 341 407 1023 1147 1221 3069 3441 3663 10323 12617 37851 113553 10763257 32289771 96869313 118395827 333660967 355187481 398240509 1000982901 1065562443 1194721527 3002948703 3584164581 3670270637 4380645599 11010811911 12345455779 13141936797 33032435733 37036367337 39425810391 111109102011 135800013569 407400040707 1222200122121