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1000200120012 = 22323738325119
BaseRepresentation
bin11101000111000001001…
…00101010011011001100
310112121200122222120112100
432203200210222123030
5112341402212320022
62043252515435100
7132155614513212
oct16434044523314
93477618876470
101000200120012
11356200990035
12141a18bb5a90
137341a895652
14365a4c5acb2
151b03e0e61ac
hexe8e092a6cc

1000200120012 has 108 divisors (see below), whose sum is σ = 2603921582080. Its totient is φ = 323479054656.

The previous prime is 1000200119959. The next prime is 1000200120037. The reversal of 1000200120012 is 2100210020001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000200119976 and 1000200120003.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 195387189 + ... + 195392307.

Almost surely, 21000200120012 is an apocalyptic number.

1000200120012 is a gapful number since it is divisible by the number (12) 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 1000200120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301960791040).

1000200120012 is an abundant number, since it is smaller than the sum of its proper divisors (1603721462068).

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

1000200120012 is a wasteful number, since it uses less digits than its factorization.

1000200120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000200120012 its reverse (2100210020001), we get a palindrome (3100410140013).

The spelling of 1000200120012 in words is "one trillion, two hundred million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 383 444 666 766 1149 1332 1532 2298 3447 4596 5119 6894 10238 13788 14171 15357 20476 28342 30714 42513 46071 56684 61428 85026 92142 127539 146689 170052 184284 189403 255078 293378 378806 440067 510156 568209 586756 757612 880134 1136418 1320201 1704627 1760268 1960577 2272836 2640402 3409254 3921154 5280804 5427493 5881731 6818508 7842308 10854986 11763462 16282479 17645193 21709972 23526924 32564958 35290386 48847437 65129916 70580772 72541349 97694874 145082698 195389748 217624047 290165396 435248094 652872141 750900991 870496188 1305744282 1501801982 2252702973 2611488564 3003603964 4505405946 6758108919 9010811892 13516217838 27032435676 27783336667 55566673334 83350010001 111133346668 166700020002 250050030003 333400040004 500100060006 1000200120012