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12000020120 = 23511213917837
BaseRepresentation
bin10110010110100000…
…11100011010011000
31010222022011011221122
423023100130122120
5144034001120440
65302430024412
7603241326254
oct131320343230
933868134848
1012000020120
1150a8775800
1223aa948108
131193170a2a
1481ba25264
154a37767b5
hex2cb41c698

12000020120 has 96 divisors (see below), whose sum is σ = 29892920400. Its totient is φ = 4332007680.

The previous prime is 12000020099. The next prime is 12000020141. The reversal of 12000020120 is 2102000021.

It is an interprime number because it is at equal distance from previous prime (12000020099) and next prime (12000020141).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 12000020098 and 12000020107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 663842 + ... + 681678.

Almost surely, 212000020120 is an apocalyptic number.

12000020120 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 12000020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14946460200).

12000020120 is an abundant number, since it is smaller than the sum of its proper divisors (17892900280).

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

12000020120 is a wasteful number, since it uses less digits than its factorization.

12000020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18009 (or 17994 counting only the distinct ones).

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

Adding to 12000020120 its reverse (2102000021), we get a palindrome (14102020141).

The spelling of 12000020120 in words is "twelve billion, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 139 220 242 278 440 484 556 605 695 968 1112 1210 1390 1529 2420 2780 3058 4840 5560 6116 7645 12232 15290 16819 17837 30580 33638 35674 61160 67276 71348 84095 89185 134552 142696 168190 178370 196207 336380 356740 392414 672760 713480 784828 981035 1569656 1962070 2158277 2479343 3924140 4316554 4958686 7848280 8633108 9917372 10791385 12396715 17266216 19834744 21582770 24793430 27272773 43165540 49586860 54545546 86331080 99173720 109091092 136363865 218182184 272727730 300000503 545455460 600001006 1090910920 1200002012 1500002515 2400004024 3000005030 6000010060 12000020120