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11122411304040 = 2335372505047591
BaseRepresentation
bin1010000111011010001101…
…0111111111010001101000
31110101021212222010020002220
42201312203113333101220
52424212144243212130
635353322030354040
72225365502122551
oct241664327772150
943337788106086
1011122411304040
1135a8a96247493
1212b772105b920
13628aba05433a
142a6482c41328
151444bd1ba410
hexa1da35ff468

11122411304040 has 64 divisors (see below), whose sum is σ = 34269051058560. Its totient is φ = 2885814823680.

The previous prime is 11122411303981. The next prime is 11122411304119. The reversal of 11122411304040 is 4040311422111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11122411304040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1252519356 + ... + 1252528235.

It is an arithmetic number, because the mean of its divisors is an integer number (535453922790).

Almost surely, 211122411304040 is an apocalyptic number.

11122411304040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122411304040 is an abundant number, since it is smaller than the sum of its proper divisors (23146639754520).

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

11122411304040 is a wasteful number, since it uses less digits than its factorization.

11122411304040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505047642 (or 2505047638 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11122411304040 its reverse (4040311422111), we get a palindrome (15162722726151).

The spelling of 11122411304040 in words is "eleven trillion, one hundred twenty-two billion, four hundred eleven million, three hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 2505047591 5010095182 7515142773 10020190364 12525237955 15030285546 20040380728 25050475910 30060571092 37575713865 50100951820 60121142184 75151427730 92686760867 100201903640 150302855460 185373521734 278060282601 300605710920 370747043468 463433804335 556120565202 741494086936 926867608670 1112241130404 1390301413005 1853735217340 2224482260808 2780602826010 3707470434680 5561205652020 11122411304040