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12021121441033 = 179411229611441
BaseRepresentation
bin1010111011101110001010…
…1011000101110100001001
31120120012121121210110221021
42232323202223011310021
53033423224042103113
641322232115512441
72350332411212545
oct256734253056411
946505547713837
1012021121441033
1139151467330a1
1214219352b8721
136927825144a3
142d7b7abc4a25
1515ca6c35a48d
hexaeee2ac5d09

12021121441033 has 16 divisors (see below), whose sum is σ = 12752160978960. Its totient is φ = 11292758732800.

The previous prime is 12021121440941. The next prime is 12021121441079. The reversal of 12021121441033 is 33014412112021.

It can be written as a sum of positive squares in 8 ways, for example, as 6225484088464 + 5795637352569 = 2495092^2 + 2407413^2 .

It is a cyclic number.

It is not a de Polignac number, because 12021121441033 - 29 = 12021121440521 is a prime.

It is a super-2 number, since 2×120211214410332 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12021121440989 and 12021121441007.

It is not an unprimeable number, because it can be changed into a prime (12021127441033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19354593 + ... + 19966033.

It is an arithmetic number, because the mean of its divisors is an integer number (797010061185).

Almost surely, 212021121441033 is an apocalyptic number.

It is an amenable number.

12021121441033 is a deficient number, since it is larger than the sum of its proper divisors (731039537927).

12021121441033 is a wasteful number, since it uses less digits than its factorization.

12021121441033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613628.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 12021121441033 its reverse (33014412112021), we get a palindrome (45035533553054).

The spelling of 12021121441033 in words is "twelve trillion, twenty-one billion, one hundred twenty-one million, four hundred forty-one thousand, thirty-three".

Divisors: 1 17 941 1229 15997 20893 611441 1156489 10394497 19660313 575365981 751460989 9781221677 12774836813 707124790649 12021121441033