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1212000211120 = 245611931286843
BaseRepresentation
bin10001101000110000110…
…101111001000010110000
311021212101101012222221011
4101220300311321002300
5124324134023223440
62324441334440304
7153364331546206
oct21506065710260
94255341188834
101212000211120
11428008582346
12176a88503094
138a3a27c464a
144293819d076
15217d849d9ea
hex11a30d790b0

1212000211120 has 80 divisors (see below), whose sum is σ = 2878937691552. Its totient is φ = 474381434880.

The previous prime is 1212000211111. The next prime is 1212000211133. The reversal of 1212000211120 is 211120002121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1212000211120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298419 + ... + 1585261.

Almost surely, 21212000211120 is an apocalyptic number.

1212000211120 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 1212000211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439468845776).

1212000211120 is an abundant number, since it is smaller than the sum of its proper divisors (1666937480432).

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

1212000211120 is a wasteful number, since it uses less digits than its factorization.

1212000211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287110 (or 1287104 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1212000211120 its reverse (211120002121), we get a palindrome (1423120213241).

The spelling of 1212000211120 in words is "one trillion, two hundred twelve billion, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 193 244 305 386 488 610 772 965 976 1220 1544 1930 2440 3088 3860 4880 7720 11773 15440 23546 47092 58865 94184 117730 188368 235460 470920 941840 1286843 2573686 5147372 6434215 10294744 12868430 20589488 25736860 51473720 78497423 102947440 156994846 248360699 313989692 392487115 496721398 627979384 784974230 993442796 1241803495 1255958768 1569948460 1986885592 2483606990 3139896920 3973771184 4967213980 6279793840 9934427960 15150002639 19868855920 30300005278 60600010556 75750013195 121200021112 151500026390 242400042224 303000052780 606000105560 1212000211120