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11202121120 = 255359195023
BaseRepresentation
bin10100110111011001…
…01100110110100000
31001220200202201021211
422123230230312200
5140420220333440
65051324155504
7544412313151
oct123354546640
931820681254
1011202121120
11482933a443
122207698b94
131096a75248
14783a85928
154586b6eea
hex29bb2cda0

11202121120 has 48 divisors (see below), whose sum is σ = 26538865920. Its totient is φ = 4468344064.

The previous prime is 11202121103. The next prime is 11202121163. The reversal of 11202121120 is 2112120211.

11202121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11202121120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40072 + ... + 154951.

It is an arithmetic number, because the mean of its divisors is an integer number (552893040).

Almost surely, 211202121120 is an apocalyptic number.

11202121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202121120 is an abundant number, since it is smaller than the sum of its proper divisors (15336744800).

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

11202121120 is a wasteful number, since it uses less digits than its factorization.

11202121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195397 (or 195389 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11202121120 its reverse (2112120211), we get a palindrome (13314241331).

Subtracting from 11202121120 its reverse (2112120211), we obtain a palindrome (9090000909).

The spelling of 11202121120 in words is "eleven billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 359 718 1436 1795 2872 3590 5744 7180 11488 14360 28720 57440 195023 390046 780092 975115 1560184 1950230 3120368 3900460 6240736 7800920 15601840 31203680 70013257 140026514 280053028 350066285 560106056 700132570 1120212112 1400265140 2240424224 2800530280 5601060560 11202121120