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1121221223001 = 3611479291901
BaseRepresentation
bin10000010100001101111…
…111100010001001011001
310222012001211112121000000
4100110031333202021121
5121332230113114001
62215025410003213
7144001623101235
oct20241577421131
93865054477000
101121221223001
113a2564171a20
12161372876509
1381966498369
143c3a5a455c5
151e273a4aa86
hex1050dfe2259

1121221223001 has 56 divisors (see below), whose sum is σ = 1837721583360. Its totient is φ = 678107052000.

The previous prime is 1121221222993. The next prime is 1121221223029. The reversal of 1121221223001 is 1003221221211.

1121221223001 is a `hidden beast` number, since 1 + 121 + 221 + 22 + 300 + 1 = 666.

It is not a de Polignac number, because 1121221223001 - 23 = 1121221222993 is a prime.

It is a super-3 number, since 3×11212212230013 (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1121221223071) 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 55 ways as a sum of consecutive naturals, for example, 3695151 + ... + 3987051.

Almost surely, 21121221223001 is an apocalyptic number.

1121221223001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1121221223001 is a deficient number, since it is larger than the sum of its proper divisors (716500360359).

1121221223001 is an equidigital number, since it uses as much as digits as its factorization.

1121221223001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292409 (or 292394 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1121221223001 its reverse (1003221221211), we get a palindrome (2124442444212).

The spelling of 1121221223001 in words is "one trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred twenty-three thousand, one".

Divisors: 1 3 9 11 27 33 81 99 243 297 479 729 891 1437 2673 4311 5269 8019 12933 15807 38799 47421 116397 142263 291901 349191 426789 875703 1280367 2627109 3210911 3841101 7881327 9632733 23643981 28898199 70931943 86694597 139820579 212795829 260083791 419461737 780251373 1258385211 1538026369 2340754119 3775155633 4614079107 11325466899 13842237321 33976400697 41526711963 101929202091 124580135889 373740407667 1121221223001