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11212124240 = 245178244209
BaseRepresentation
bin10100111000100101…
…10111000001010000
31001221101120220222202
422130102313001100
5140430300433430
65052322422332
7544563324602
oct123422670120
931841526882
1011212124240
114833a51989
12220ab019a8
131098b68355
1478512b172
154594e0d45
hex29c4b7050

11212124240 has 40 divisors (see below), whose sum is σ = 27601615080. Its totient is φ = 4221034496.

The previous prime is 11212124227. The next prime is 11212124243. The reversal of 11212124240 is 4242121211.

It can be written as a sum of positive squares in 4 ways, for example, as 1204922944 + 10007201296 = 34712^2 + 100036^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212124243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4120745 + ... + 4123464.

It is an arithmetic number, because the mean of its divisors is an integer number (690040377).

Almost surely, 211212124240 is an apocalyptic number.

11212124240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212124240 is an abundant number, since it is smaller than the sum of its proper divisors (16389490840).

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

11212124240 is a wasteful number, since it uses less digits than its factorization.

11212124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8244239 (or 8244233 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11212124240 its reverse (4242121211), we get a palindrome (15454245451).

The spelling of 11212124240 in words is "eleven billion, two hundred twelve million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 8244209 16488418 32976836 41221045 65953672 82442090 131907344 140151553 164884180 280303106 329768360 560606212 659536720 700757765 1121212424 1401515530 2242424848 2803031060 5606062120 11212124240