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1221220110012 = 22373476312781
BaseRepresentation
bin10001110001010110011…
…001000000111010111100
311022202011221002101111220
4101301112121000322330
5130002024322010022
62333004253113340
7154141654443000
oct21612631007274
94282157071456
101221220110012
11430a09a078a1
12178820188850
138b2119a8316
1443170896700
1521b77b1585c
hex11c56640ebc

1221220110012 has 96 divisors (see below), whose sum is σ = 3393751603200. Its totient is φ = 341496146880.

The previous prime is 1221220109897. The next prime is 1221220110013. The reversal of 1221220110012 is 2100110221221.

It is a junction number, because it is equal to n+sod(n) for n = 1221220109973 and 1221220110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221220110013) 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 31 ways as a sum of consecutive naturals, for example, 2962939 + ... + 3349842.

It is an arithmetic number, because the mean of its divisors is an integer number (35351579200).

Almost surely, 21221220110012 is an apocalyptic number.

1221220110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1221220110012 is an abundant number, since it is smaller than the sum of its proper divisors (2172531493188).

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

1221220110012 is a wasteful number, since it uses less digits than its factorization.

1221220110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312856 (or 6312840 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1221220110012 its reverse (2100110221221), we get a palindrome (3321330331233).

The spelling of 1221220110012 in words is "one trillion, two hundred twenty-one billion, two hundred twenty million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 84 94 98 141 147 188 196 282 294 329 343 564 588 658 686 987 1029 1316 1372 1974 2058 2303 3948 4116 4606 6909 9212 13818 16121 27636 32242 48363 64484 96726 193452 6312781 12625562 18938343 25251124 37876686 44189467 75753372 88378934 132568401 176757868 265136802 296700707 309326269 530273604 593401414 618652538 890102121 927978807 1186802828 1237305076 1780204242 1855957614 2076904949 2165283883 3560408484 3711915228 4153809898 4330567766 6230714847 6495851649 8307619796 8661135532 12461429694 12991703298 14538334643 24922859388 25983406596 29076669286 43615003929 58153338572 87230007858 101768342501 174460015716 203536685002 305305027503 407073370004 610610055006 1221220110012