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1121122202112 = 29321122118099
BaseRepresentation
bin10000010100001000000…
…101110011001000000000
310222011210221012210212200
4100110020011303020000
5121332024240431422
62215011511353200
7143666311324503
oct20241005631000
93864727183780
101121122202112
113a251328a080
12161345682800
138194bb08413
143c39682b13a
151e269edb2ac
hex10508173200

1121122202112 has 120 divisors (see below), whose sum is σ = 3529783342800. Its totient is φ = 339733985280.

The previous prime is 1121122202107. The next prime is 1121122202153. The reversal of 1121122202112 is 2112022211211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11008362 + ... + 11109737.

It is an arithmetic number, because the mean of its divisors is an integer number (29414861190).

Almost surely, 21121122202112 is an apocalyptic number.

1121122202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1121122202112 is an abundant number, since it is smaller than the sum of its proper divisors (2408661140688).

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

1121122202112 is a wasteful number, since it uses less digits than its factorization.

1121122202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22118134 (or 22118115 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1121122202112 its reverse (2112022211211), we get a palindrome (3233144413323).

Subtracting 1121122202112 from its reverse (2112022211211), we obtain a palindrome (990900009099).

The spelling of 1121122202112 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2816 3168 4224 4608 5632 6336 8448 12672 16896 25344 50688 22118099 44236198 66354297 88472396 132708594 176944792 199062891 243299089 265417188 353889584 398125782 486598178 530834376 707779168 729897267 796251564 973196356 1061668752 1415558336 1459794534 1592503128 1946392712 2123337504 2189691801 2831116672 2919589068 3185006256 3892785424 4246675008 4379383602 5662233344 5839178136 6370012512 7785570848 8493350016 8758767204 11324466688 11678356272 12740025024 15571141696 16986700032 17517534408 23356712544 25480050048 31142283392 33973400064 35035068816 46713425088 50960100096 62284566784 70070137632 93426850176 101920200192 124569133568 140140275264 186853700352 280280550528 373707400704 560561101056 1121122202112