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1122121211211 = 3271113373366367
BaseRepresentation
bin10000010101000011101…
…000101101110101001011
310222021101120000201201200
4100111003220231311023
5121341101012224321
62215254555515243
7144033131630460
oct20250350556513
93867346021650
101122121211211
113a2986196430
12161584158b23
1381a7aa89570
143c44d39b667
151e2c7a73d26
hex10543a2dd4b

1122121211211 has 96 divisors (see below), whose sum is σ = 2235052904448. Its totient is φ = 523537240320.

The previous prime is 1122121211111. The next prime is 1122121211231. The reversal of 1122121211211 is 1121121212211.

It is a happy number.

1122121211211 is a `hidden beast` number, since 1 + 1 + 221 + 21 + 211 + 211 = 666.

It is not a de Polignac number, because 1122121211211 - 27 = 1122121211083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1122121211231) 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 95 ways as a sum of consecutive naturals, for example, 1349851 + ... + 2016516.

It is an arithmetic number, because the mean of its divisors is an integer number (23281801088).

Almost surely, 21122121211211 is an apocalyptic number.

1122121211211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1122121211211 is a deficient number, since it is larger than the sum of its proper divisors (1112931693237).

1122121211211 is a wasteful number, since it uses less digits than its factorization.

1122121211211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366441 (or 3366438 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 1122121211211 its reverse (1121121212211), we get a palindrome (2243242423422).

The spelling of 1122121211211 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred eleven thousand, two hundred eleven".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 143 231 259 273 333 407 429 481 693 777 819 1001 1221 1287 1443 2331 2849 3003 3367 3663 4329 5291 8547 9009 10101 15873 25641 30303 37037 47619 111111 333333 3366367 10099101 23564569 30297303 37030037 43762771 70693707 111090111 124555579 131288313 212081121 259210259 306339397 333270333 373666737 393864939 481390481 777630777 871889053 919018191 1121000211 1370111369 1444171443 1619222527 2332892331 2615667159 2757054573 3369733367 4110334107 4332514329 4857667581 7847001477 9590779583 10109200101 11334557689 12331002321 14573002743 17811447797 28772338749 30327600303 34003673067 53434343391 86317016247 102011019201 124680134579 160303030173 374040403737 1122121211211