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11122010012120 = 2357311281337559
BaseRepresentation
bin1010000111011000101101…
…1101001011100111011000
31110101020212000000111002012
42201312023131023213120
52424210334030341440
635353214133325052
72225352530160350
oct241661335134730
943336760014065
1011122010012120
1135a88aa779977
1212b762a796788
13628a54b7c9b7
142a6445821b60
15144497d4de65
hexa1d8b74b9d8

11122010012120 has 64 divisors (see below), whose sum is σ = 29522017382400. Its totient is φ = 3690252167040.

The previous prime is 11122010012023. The next prime is 11122010012129. The reversal of 11122010012120 is 2121001022111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11122010012095 and 11122010012104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122010012129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640660100 + ... + 640677459.

It is an arithmetic number, because the mean of its divisors is an integer number (461281521600).

Almost surely, 211122010012120 is an apocalyptic number.

11122010012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122010012120 is an abundant number, since it is smaller than the sum of its proper divisors (18400007370280).

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

11122010012120 is a wasteful number, since it uses less digits than its factorization.

11122010012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281337608 (or 1281337604 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11122010012120 its reverse (2121001022111), we get a palindrome (13243011034231).

The spelling of 11122010012120 in words is "eleven trillion, one hundred twenty-two billion, ten million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 8680 1281337559 2562675118 5125350236 6406687795 8969362913 10250700472 12813375590 17938725826 25626751180 35877451652 39721464329 44846814565 51253502360 71754903304 79442928658 89693629130 158885857316 179387258260 198607321645 278050250303 317771714632 358774516520 397214643290 556100500606 794429286580 1112201001212 1390251251515 1588858573160 2224402002424 2780502503030 5561005006060 11122010012120