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1200110001200 = 245211333181883
BaseRepresentation
bin10001011101101100001…
…000010101110000110000
311020201200201200202020222
4101131230020111300300
5124130311130014300
62315153430152212
7152463562461155
oct21355410256060
94221621622228
101200110001200
11422a66899680
1217470a4b2668
1389229320786
144212ada022c
152133e6b8785
hex1176c215c30

1200110001200 has 120 divisors (see below), whose sum is σ = 3146361911616. Its totient is φ = 436267296000.

The previous prime is 1200110001163. The next prime is 1200110001247. The reversal of 1200110001200 is 21000110021.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 23 ways as a sum of consecutive naturals, for example, 14615459 + ... + 14697341.

Almost surely, 21200110001200 is an apocalyptic number.

1200110001200 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 1200110001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573180955808).

1200110001200 is an abundant number, since it is smaller than the sum of its proper divisors (1946251910416).

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

1200110001200 is a wasteful number, since it uses less digits than its factorization.

1200110001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85243 (or 85232 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1200110001200 its reverse (21000110021), we get a palindrome (1221110111221).

The spelling of 1200110001200 in words is "one trillion, two hundred billion, one hundred ten million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 3331 4400 6662 13324 16655 26648 33310 36641 53296 66620 73282 81883 83275 133240 146564 163766 166550 183205 266480 293128 327532 333100 366410 409415 586256 655064 666200 732820 818830 900713 916025 1310128 1332400 1465640 1637660 1801426 1832050 2047075 2931280 3275320 3602852 3664100 4094150 4503565 6550640 7205704 7328200 8188300 9007130 14411408 14656400 16376600 18014260 22517825 32753200 36028520 45035650 72057040 90071300 180142600 272752273 360285200 545504546 1091009092 1363761365 2182018184 2727522730 3000275003 4364036368 5455045460 6000550006 6818806825 10910090920 12001100012 13637613650 15001375015 21820181840 24002200024 27275227300 30002750030 48004400048 54550454600 60005500060 75006875075 109100909200 120011000120 150013750150 240022000240 300027500300 600055000600 1200110001200