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11120122012120 = 2351183743409817
BaseRepresentation
bin1010000111010001101011…
…1011000010000111011000
31110101001222102102010222021
42201310122323002013120
52424143002213341440
635352302531104224
72225254663350232
oct241643273020730
943331872363867
1011120122012120
1135a8020a7a5a0
1212b71a2442074
1362881398b134
142a6306b9d252
151443d721184a
hexa1d1aec21d8

11120122012120 has 128 divisors (see below), whose sum is σ = 27660944586240. Its totient is φ = 3989575152640.

The previous prime is 11120122012099. The next prime is 11120122012123. The reversal of 11120122012120 is 2121022102111.

It is a super-2 number, since 2×111201220121202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11120122012094 and 11120122012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120122012123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26929452 + ... + 27339268.

It is an arithmetic number, because the mean of its divisors is an integer number (216101129580).

Almost surely, 211120122012120 is an apocalyptic number.

11120122012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120122012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13830472293120).

11120122012120 is an abundant number, since it is smaller than the sum of its proper divisors (16540822574120).

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

11120122012120 is a wasteful number, since it uses less digits than its factorization.

11120122012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410665 (or 410661 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11120122012120 its reverse (2121022102111), we get a palindrome (13241144114231).

The spelling of 11120122012120 in words is "eleven trillion, one hundred twenty billion, one hundred twenty-two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 166 220 332 415 440 664 743 830 913 1486 1660 1826 2972 3320 3652 3715 4565 5944 7304 7430 8173 9130 14860 16346 18260 29720 32692 36520 40865 61669 65384 81730 123338 163460 246676 308345 326920 409817 493352 616690 678359 819634 1233380 1356718 1639268 2049085 2466760 2713436 3278536 3391795 4098170 4507987 5426872 6783590 8196340 9015974 13567180 16392680 18031948 22539935 27134360 34014811 36063896 45079870 68029622 90159740 136059244 170074055 180319480 272118488 304494031 340148110 374162921 608988062 680296220 748325842 1217976124 1360592440 1496651684 1522470155 1870814605 2435952248 2993303368 3044940310 3349434341 3741629210 6089880620 6698868682 7483258420 12179761240 13397737364 14966516840 16747171705 25273004573 26795474728 33494343410 50546009146 66988686820 101092018292 126365022865 133977373640 202184036584 252730045730 278003050303 505460091460 556006100606 1010920182920 1112012201212 1390015251515 2224024402424 2780030503030 5560061006060 11120122012120