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1200102000020 = 2257111017715713
BaseRepresentation
bin10001011101101011101…
…001110100010110010100
311020201200011122020200222
4101131223221310112110
5124130302103000040
62315152542453512
7152463434455130
oct21355351642624
94221604566628
101200102000020
11422a62324230
12174707894298
138922777b951
1442129cba3c0
152133db37bb5
hex1176ba74594

1200102000020 has 96 divisors (see below), whose sum is σ = 3173195402496. Its totient is φ = 370354176000.

The previous prime is 1200102000001. The next prime is 1200102000037. The reversal of 1200102000020 is 200002010021.

It is a junction number, because it is equal to n+sod(n) for n = 1200101999971 and 1200102000007.

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, 3702317 + ... + 4013396.

It is an arithmetic number, because the mean of its divisors is an integer number (33054118776).

Almost surely, 21200102000020 is an apocalyptic number.

1200102000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200102000020 is an abundant number, since it is smaller than the sum of its proper divisors (1973093402476).

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

1200102000020 is a wasteful number, since it uses less digits than its factorization.

1200102000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7715841 (or 7715839 counting only the distinct ones).

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

Adding to 1200102000020 its reverse (200002010021), we get a palindrome (1400104010041).

The spelling of 1200102000020 in words is "one trillion, two hundred billion, one hundred two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2828 3535 4444 5555 7070 7777 11110 14140 15554 22220 31108 38885 77770 155540 7715713 15431426 30862852 38578565 54009991 77157130 84872843 108019982 154314260 169745686 216039964 270049955 339491372 424364215 540099910 594109901 779287013 848728430 1080199820 1188219802 1558574026 1697456860 2376439604 2970549505 3117148052 3896435065 5455009091 5941099010 7792870130 8572157143 10910018182 11882198020 15585740260 17144314286 21820036364 27275045455 34288628572 42860785715 54550090910 60005100001 85721571430 109100181820 120010200002 171443142860 240020400004 300025500005 600051000010 1200102000020