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1121101212120 = 2335371311927483
BaseRepresentation
bin10000010100000110110…
…101101110100111011000
310222011202110201102000120
4100110012311232213120
5121332003402241440
62215005441433240
7143665635033261
oct20240665564730
93864673642016
101121101212120
113a2502452a7a
1216133a63b820
13819476694c6
143c393b25968
151e268241dd0
hex10506d6e9d8

1121101212120 has 128 divisors (see below), whose sum is σ = 3480573507840. Its totient is φ = 288659704320.

The previous prime is 1121101212097. The next prime is 1121101212131. The reversal of 1121101212120 is 212121011211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1121101212120.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 382102 + ... + 1545381.

It is an arithmetic number, because the mean of its divisors is an integer number (27191980530).

Almost surely, 21121101212120 is an apocalyptic number.

1121101212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121101212120 is an abundant number, since it is smaller than the sum of its proper divisors (2359472295720).

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

1121101212120 is a wasteful number, since it uses less digits than its factorization.

1121101212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927665 (or 1927661 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1121101212120 its reverse (212121011211), we get a palindrome (1333222223331).

The spelling of 1121101212120 in words is "one trillion, one hundred twenty-one billion, one hundred one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 131 148 185 222 262 296 370 393 444 524 555 655 740 786 888 1048 1110 1310 1480 1572 1965 2220 2620 3144 3930 4440 4847 5240 7860 9694 14541 15720 19388 24235 29082 38776 48470 58164 72705 96940 116328 145410 193880 290820 581640 1927483 3854966 5782449 7709932 9637415 11564898 15419864 19274830 23129796 28912245 38549660 46259592 57824490 71316871 77099320 115648980 142633742 213950613 231297960 252500273 285267484 356584355 427901226 505000546 570534968 713168710 757500819 855802452 1010001092 1069753065 1262501365 1426337420 1515001638 1711604904 2020002184 2139506130 2525002730 2852674840 3030003276 3787504095 4279012260 5050005460 6060006552 7575008190 8558024520 9342510101 10100010920 15150016380 18685020202 28027530303 30300032760 37370040404 46712550505 56055060606 74740080808 93425101010 112110121212 140137651515 186850202020 224220242424 280275303030 373700404040 560550606060 1121101212120