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12121203200000 = 21255946969
BaseRepresentation
bin1011000001100011000000…
…0000101101000000000000
31120220202221111021121101212
42300120300000231000000
53042043211004400000
641440223123145252
72360504500141436
oct260306000550000
946822844247355
1012121203200000
113953634230994
121439206515228
1369c041c4bacb
142dc952a48d56
15160478844c35
hexb063002d000

12121203200000 has 156 divisors (see below), whose sum is σ = 30297401740620. Its totient is φ = 4848476160000.

The previous prime is 12121203199981. The next prime is 12121203200011. The reversal of 12121203200000 is 230212121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7340718309376 + 4780484890624 = 2709376^2 + 2186432^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12326516 + ... + 13273484.

Almost surely, 212121203200000 is an apocalyptic number.

12121203200000 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 12121203200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15148700870310).

12121203200000 is an abundant number, since it is smaller than the sum of its proper divisors (18176198540620).

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

12121203200000 is an frugal number, since it uses more digits than its factorization.

12121203200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947018 (or 946976 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12121203200000 its reverse (230212121), we get a palindrome (12121433412121).

The spelling of 12121203200000 in words is "twelve trillion, one hundred twenty-one billion, two hundred three million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3125 3200 4000 4096 5000 5120 6250 6400 8000 10000 10240 12500 12800 16000 20000 20480 25000 25600 32000 40000 50000 51200 64000 80000 100000 102400 128000 160000 200000 256000 320000 400000 512000 640000 800000 946969 1280000 1600000 1893938 2560000 3200000 3787876 4734845 6400000 7575752 9469690 12800000 15151504 18939380 23674225 30303008 37878760 47348450 60606016 75757520 94696900 118371125 121212032 151515040 189393800 236742250 242424064 303030080 378787600 473484500 484848128 591855625 606060160 757575200 946969000 969696256 1183711250 1212120320 1515150400 1893938000 1939392512 2367422500 2424240640 2959278125 3030300800 3787876000 3878785024 4734845000 4848481280 5918556250 6060601600 7575752000 9469690000 9696962560 11837112500 12121203200 15151504000 18939380000 19393925120 23674225000 24242406400 30303008000 37878760000 47348450000 48484812800 60606016000 75757520000 94696900000 96969625600 121212032000 151515040000 189393800000 242424064000 303030080000 378787600000 484848128000 606060160000 757575200000 1212120320000 1515150400000 2424240640000 3030300800000 6060601600000 12121203200000