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1032200212120 = 235711335129939
BaseRepresentation
bin11110000010100111110…
…11010100111010011000
310122200021210210200110221
433001103323110322120
5113402421223241440
62110104120445424
7134400612016330
oct17012373247230
93580253720427
101032200212120
11368832123950
12148069919874
137644a4379ac
1437d5cb860c0
151bcb35eed4a
hexf053ed4e98

1032200212120 has 64 divisors (see below), whose sum is σ = 2895522681600. Its totient is φ = 321724740480.

The previous prime is 1032200212117. The next prime is 1032200212123. The reversal of 1032200212120 is 212120022301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1032200212117) and next prime (1032200212123).

It is a junction number, because it is equal to n+sod(n) for n = 1032200212094 and 1032200212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032200212123) 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, 167561890 + ... + 167568049.

It is an arithmetic number, because the mean of its divisors is an integer number (45242541900).

Almost surely, 21032200212120 is an apocalyptic number.

1032200212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032200212120 is an abundant number, since it is smaller than the sum of its proper divisors (1863322469480).

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

1032200212120 is a wasteful number, since it uses less digits than its factorization.

1032200212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335129968 (or 335129964 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1032200212120 its reverse (212120022301), we get a palindrome (1244320234421).

The spelling of 1032200212120 in words is "one trillion, thirty-two billion, two hundred million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 335129939 670259878 1340519756 1675649695 2345909573 2681039512 3351299390 3686429329 4691819146 6702598780 7372858658 9383638292 11729547865 13405197560 14745717316 18432146645 18767276584 23459095730 25805005303 29491434632 36864293290 46918191460 51610010606 73728586580 93836382920 103220021212 129025026515 147457173160 206440042424 258050053030 516100106060 1032200212120