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120210222200020 = 225128917232706283
BaseRepresentation
bin11011010101010010011111…
…100101111011010011010100
3120202121222121001221021200121
4123111102133211323103110
5111224011013340400040
61103355451432121324
734214621240331451
oct3325223745732324
9522558531837617
10120210222200020
11353369616155a7
1211595668236244
13520ca104941c4
1421982c49d4828
15dd6e25229c4a
hex6d549f97b4d4

120210222200020 has 48 divisors (see below), whose sum is σ = 252784029314880. Its totient is φ = 48018882191616.

The previous prime is 120210222199999. The next prime is 120210222200093. The reversal of 120210222200020 is 20002222012021.

It is a super-3 number, since 3×1202102222000203 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120210222199967 and 120210222200003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43065799 + ... + 45772081.

It is an arithmetic number, because the mean of its divisors is an integer number (5266333944060).

Almost surely, 2120210222200020 is an apocalyptic number.

120210222200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120210222200020 is an abundant number, since it is smaller than the sum of its proper divisors (132573807114860).

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

120210222200020 is a wasteful number, since it uses less digits than its factorization.

120210222200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709304 (or 2709302 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 120210222200020 its reverse (20002222012021), we get a palindrome (140212444212041).

The spelling of 120210222200020 in words is "one hundred twenty trillion, two hundred ten billion, two hundred twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 1289 1723 2578 3446 5156 6445 6892 8615 12890 17230 25780 34460 2220947 2706283 4441894 5412566 8883788 10825132 11104735 13531415 22209470 27062830 44418940 54125660 3488398787 4662925609 6976797574 9325851218 13953595148 17441993935 18651702436 23314628045 34883987870 46629256090 69767975740 93258512180 6010511110001 12021022220002 24042044440004 30052555550005 60105111100010 120210222200020