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12011020120 = 23511163167471
BaseRepresentation
bin10110010111110100…
…11001111101011000
31011000001212001010001
423023322121331120
5144044310120440
65303501502344
7603433662241
oct131372317530
934001761101
1012011020120
1151039a9210
1223b25719b4
1311955227c8
1481d289cc8
154a46eab9a
hex2cbe99f58

12011020120 has 64 divisors (see below), whose sum is σ = 29662640640. Its totient is φ = 4340822400.

The previous prime is 12011020117. The next prime is 12011020121. The reversal of 12011020120 is 2102011021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12011020097 and 12011020106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011020121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12016 + ... + 155455.

It is an arithmetic number, because the mean of its divisors is an integer number (463478760).

Almost surely, 212011020120 is an apocalyptic number.

12011020120 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 12011020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14831320320).

12011020120 is an abundant number, since it is smaller than the sum of its proper divisors (17651620520).

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

12011020120 is a wasteful number, since it uses less digits than its factorization.

12011020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167656 (or 167652 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12011020120 its reverse (2102011021), we get a palindrome (14113031141).

Subtracting from 12011020120 its reverse (2102011021), we obtain a palindrome (9909009099).

The spelling of 12011020120 in words is "twelve billion, eleven million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 163 220 326 440 652 815 1304 1630 1793 3260 3586 6520 7172 8965 14344 17930 35860 71720 167471 334942 669884 837355 1339768 1674710 1842181 3349420 3684362 6698840 7368724 9210905 14737448 18421810 27297773 36843620 54595546 73687240 109191092 136488865 218382184 272977730 300275503 545955460 600551006 1091910920 1201102012 1501377515 2402204024 3002755030 6005510060 12011020120