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1212201120966 = 23112910319333181
BaseRepresentation
bin10001101000111100110…
…100010011010011000110
311021212220101021021102120
4101220330310103103012
5124330041441332331
62324513312550410
7153402321343203
oct21507464232306
94255811237376
101212201120966
11428100a26940
12176b23852406
138a405309b04
1442956b3acaa
15217eae37796
hex11a3cd134c6

1212201120966 has 128 divisors (see below), whose sum is σ = 2764863728640. Its totient is φ = 350931571200.

The previous prime is 1212201120929. The next prime is 1212201120967. The reversal of 1212201120966 is 6690211022121.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212201120967) 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 63 ways as a sum of consecutive naturals, for example, 381073896 + ... + 381077076.

It is an arithmetic number, because the mean of its divisors is an integer number (21600497880).

Almost surely, 21212201120966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212201120966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382431864320).

1212201120966 is an abundant number, since it is smaller than the sum of its proper divisors (1552662607674).

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

1212201120966 is a wasteful number, since it uses less digits than its factorization.

1212201120966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5262.

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 1212201120966 in words is "one trillion, two hundred twelve billion, two hundred one million, one hundred twenty thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 103 174 206 309 319 618 638 957 1133 1914 1933 2266 2987 3181 3399 3866 5799 5974 6362 6798 8961 9543 11598 17922 19086 21263 32857 34991 42526 56057 63789 65714 69982 92249 98571 104973 112114 127578 168171 184498 197142 199099 209946 276747 327643 336342 398198 553494 597297 616627 655286 982929 1014739 1194594 1233254 1849881 1965858 2029478 2190089 3044217 3604073 3699762 4380178 5773871 6088434 6148873 6570267 7208146 9501647 10812219 11547742 12297746 13140534 17321613 18446619 19003294 21624438 28504941 34643226 36893238 57009882 63512581 67637603 104518117 127025162 135275206 178317317 190537743 202912809 209036234 313554351 356634634 381075486 405825618 534951951 627108702 633333919 1069903902 1266667838 1900001757 1961490487 3800003514 3922980974 5884471461 6966673109 11768942922 13933346218 18366683651 20900019327 36733367302 41800038654 55100050953 110200101906 202033520161 404067040322 606100560483 1212201120966