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12002120000 = 26541323081
BaseRepresentation
bin10110010110110000…
…11101000101000000
31010222110002212102222
423023120131011000
5144040020320000
65302543030212
7603265223333
oct131330350500
933873085388
1012002120000
1150a997a442
1223ab59b368
131193727770
1481c01061a
154a3a3da85
hex2cb61d140

12002120000 has 140 divisors (see below), whose sum is σ = 32052080676. Its totient is φ = 4431360000.

The previous prime is 12002119979. The next prime is 12002120023. The reversal of 12002120000 is 2120021.

It can be written as a sum of positive squares in 10 ways, for example, as 10952878336 + 1049241664 = 104656^2 + 32392^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 12002120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 508460 + ... + 531540.

Almost surely, 212002120000 is an apocalyptic number.

12002120000 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 12002120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16026040338).

12002120000 is an abundant number, since it is smaller than the sum of its proper divisors (20049960676).

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

12002120000 is an equidigital number, since it uses as much as digits as its factorization.

12002120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23126 (or 23101 counting only the distinct ones).

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

Adding to 12002120000 its reverse (2120021), we get a palindrome (12004240021).

The spelling of 12002120000 in words is "twelve billion, two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 625 650 800 832 1000 1040 1250 1300 1600 1625 2000 2080 2500 2600 3250 4000 4160 5000 5200 6500 8000 8125 10000 10400 13000 16250 20000 20800 23081 26000 32500 40000 46162 52000 65000 92324 104000 115405 130000 184648 230810 260000 300053 369296 461620 520000 577025 600106 738592 923240 1154050 1200212 1477184 1500265 1846480 2308100 2400424 2885125 3000530 3692960 4616200 4800848 5770250 6001060 7385920 7501325 9232400 9601696 11540500 12002120 14425625 15002650 18464800 19203392 23081000 24004240 28851250 30005300 36929600 37506625 46162000 48008480 57702500 60010600 75013250 92324000 96016960 115405000 120021200 150026500 184648000 187533125 230810000 240042400 300053000 375066250 461620000 480084800 600106000 750132500 923240000 1200212000 1500265000 2400424000 3000530000 6001060000 12002120000