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1220101220112 = 243733019115337
BaseRepresentation
bin10001110000010011101…
…100110010011100010000
311022122021221200220010020
4101300103230302130100
5124442231403020422
62332301243303440
7154102150153215
oct21602354623420
94278257626106
101220101220112
114304953702a5
1217856951ab80
138b093c425a8
14430a603bb0c
1521b0e79c95c
hex11c13b32710

1220101220112 has 80 divisors (see below), whose sum is σ = 3196191293760. Its totient is φ = 400992823296.

The previous prime is 1220101220101. The next prime is 1220101220113. The reversal of 1220101220112 is 2110221010221.

It is a junction number, because it is equal to n+sod(n) for n = 1220101220091 and 1220101220100.

It is not an unprimeable number, because it can be changed into a prime (1220101220113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10520908 + ... + 10636244.

It is an arithmetic number, because the mean of its divisors is an integer number (39952391172).

Almost surely, 21220101220112 is an apocalyptic number.

1220101220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220101220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598095646880).

1220101220112 is an abundant number, since it is smaller than the sum of its proper divisors (1976090073648).

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

1220101220112 is a wasteful number, since it uses less digits than its factorization.

1220101220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118440 (or 118434 counting only the distinct ones).

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

Adding to 1220101220112 its reverse (2110221010221), we get a palindrome (3330322230333).

The spelling of 1220101220112 in words is "one trillion, two hundred twenty billion, one hundred one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3019 3504 6038 9057 12076 18114 24152 36228 48304 72456 115337 144912 220387 230674 346011 440774 461348 661161 692022 881548 922696 1322322 1384044 1763096 1845392 2644644 2768088 3526192 5289288 5536176 8419601 10578576 16839202 25258803 33678404 50517606 67356808 101035212 134713616 202070424 348202403 404140848 696404806 1044607209 1392809612 2089214418 2785619224 4178428836 5571238448 8356857672 16713715344 25418775419 50837550838 76256326257 101675101676 152512652514 203350203352 305025305028 406700406704 610050610056 1220101220112