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1221120202112 = 2747479342349
BaseRepresentation
bin10001110001010000011…
…011111001010110000000
311022201220222002112122022
4101301100123321112000
5130001323232431422
62332550323501012
7154136332313216
oct21612033712600
94281828075568
101221120202112
11430968579588
121787b2827768
138b1c7097715
14431614cacb6
1521b6de7d342
hex11c506f9580

1221120202112 has 64 divisors (see below), whose sum is σ = 2485037016000. Its totient is φ = 597430677504.

The previous prime is 1221120202063. The next prime is 1221120202117. The reversal of 1221120202112 is 2112020211221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×12211202021122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221120202117) 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 7 ways as a sum of consecutive naturals, for example, 28813514 + ... + 28855862.

It is an arithmetic number, because the mean of its divisors is an integer number (38828703375).

Almost surely, 21221120202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221120202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242518508000).

1221120202112 is an abundant number, since it is smaller than the sum of its proper divisors (1263916813888).

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

1221120202112 is an equidigital number, since it uses as much as digits as its factorization.

1221120202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47203 (or 47191 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1221120202112 its reverse (2112020211221), we get a palindrome (3333140413333).

The spelling of 1221120202112 in words is "one trillion, two hundred twenty-one billion, one hundred twenty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 3008 4793 6016 9586 19172 38344 42349 76688 84698 153376 169396 225271 306752 338792 450542 613504 677584 901084 1355168 1802168 1990403 2710336 3604336 3980806 5420672 7208672 7961612 14417344 15923224 28834688 31846448 63692896 127385792 202978757 254771584 405957514 811915028 1623830056 3247660112 6495320224 9540001579 12990640448 19080003158 25981280896 38160006316 76320012632 152640025264 305280050528 610560101056 1221120202112