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12088812000 = 253531007401
BaseRepresentation
bin10110100001000110…
…01010000111100000
31011012111020021111210
423100203022013200
5144224213441000
65315321110120
7605400130566
oct132043120740
934174207453
1012088812000
115143901421
122414628340
1311a868bac5
14829739a36
154ab465350
hex2d08ca1e0

12088812000 has 96 divisors (see below), whose sum is σ = 39602987424. Its totient is φ = 3223680000.

The previous prime is 12088811963. The next prime is 12088812007. The reversal of 12088812000 is 21888021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×120888120002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12088812007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491701 + ... + 515700.

It is an arithmetic number, because the mean of its divisors is an integer number (412531119).

Almost surely, 212088812000 is an apocalyptic number.

12088812000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12088812000 is an abundant number, since it is smaller than the sum of its proper divisors (27514175424).

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

12088812000 is a wasteful number, since it uses less digits than its factorization.

12088812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007429 (or 1007411 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The spelling of 12088812000 in words is "twelve billion, eighty-eight million, eight hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1007401 2014802 3022203 4029604 5037005 6044406 8059208 10074010 12088812 15111015 16118416 20148020 24177624 25185025 30222030 32236832 40296040 48355248 50370050 60444060 75555075 80592080 96710496 100740100 120888120 125925125 151110150 161184160 201480200 241776240 251850250 302220300 377775375 402960400 483552480 503700500 604440600 755550750 805920800 1007401000 1208881200 1511101500 2014802000 2417762400 3022203000 4029604000 6044406000 12088812000