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12031200032020 = 22513411300786771
BaseRepresentation
bin1010111100010011101101…
…1001110111010100010100
31120121011122000102221121221
42233010323121313110110
53034104344202011040
641331020151020124
72351140231632001
oct257047331672424
946534560387557
1012031200032020
113919448846734
12142388866a644
136936ca58a8b0
142d84555648a8
1515ce5c08e74a
hexaf13b677514

12031200032020 has 96 divisors (see below), whose sum is σ = 27875120426496. Its totient is φ = 4333557580800.

The previous prime is 12031200031969. The next prime is 12031200032063. The reversal of 12031200032020 is 2023000213021.

It is a junction number, because it is equal to n+sod(n) for n = 12031200031985 and 12031200032003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138611235 + ... + 138698005.

It is an arithmetic number, because the mean of its divisors is an integer number (290365837776).

Almost surely, 212031200032020 is an apocalyptic number.

12031200032020 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 12031200032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13937560213248).

12031200032020 is an abundant number, since it is smaller than the sum of its proper divisors (15843920394476).

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

12031200032020 is a wasteful number, since it uses less digits than its factorization.

12031200032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99841 (or 99839 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12031200032020 its reverse (2023000213021), we get a palindrome (14054200245041).

The spelling of 12031200032020 in words is "twelve trillion, thirty-one billion, two hundred million, thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 10660 13007 26014 52028 65035 86771 130070 169091 173542 260140 338182 347084 433855 533287 676364 845455 867710 1066574 1128023 1690910 1735420 2133148 2256046 2666435 3381820 3557611 4512092 5332870 5640115 6932731 7115222 10665740 11280230 13865462 14230444 17788055 22560460 27730924 34663655 35576110 46248943 69327310 71152220 92497886 138654620 184995772 231244715 462489430 924978860 1128630397 2257260794 4514521588 5643151985 11286303970 14672195161 22572607940 29344390322 46273846277 58688780644 73360975805 92547692554 146721951610 185095385108 231369231385 293443903220 462738462770 601560001601 925476925540 1203120003202 2406240006404 3007800008005 6015600016010 12031200032020