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21001120120000 = 26543471513049
BaseRepresentation
bin1001100011001101101000…
…10011011111110011000000
32202100200120011120220220201
410301212310103133303000
510223040243222320000
6112355440440414544
74265165222442616
oct461466423376300
982320504526821
1021001120120000
11676758589a739
1224321a8777454
13b94521656177
1452866135d6b6
15266449b0996a
hex1319b44dfcc0

21001120120000 has 140 divisors (see below), whose sum is σ = 52226061841800. Its totient is φ = 8376233728000.

The previous prime is 21001120119979. The next prime is 21001120120009. The reversal of 21001120120000 is 2102110012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (21001120120009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13123476 + ... + 14636524.

It is an arithmetic number, because the mean of its divisors is an integer number (373043298870).

Almost surely, 221001120120000 is an apocalyptic number.

21001120120000 is a gapful number since it is divisible by the number (20) 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 21001120120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26113030920900).

21001120120000 is an abundant number, since it is smaller than the sum of its proper divisors (31224941721800).

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

21001120120000 is an equidigital number, since it uses as much as digits as its factorization.

21001120120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513428 (or 1513403 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21001120120000 its reverse (2102110012), we get a palindrome (21003222230012).

The spelling of 21001120120000 in words is "twenty-one trillion, one billion, one hundred twenty million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 347 400 500 625 694 800 1000 1250 1388 1600 1735 2000 2500 2776 3470 4000 5000 5552 6940 8000 8675 10000 11104 13880 17350 20000 22208 27760 34700 40000 43375 55520 69400 86750 111040 138800 173500 216875 277600 347000 433750 555200 694000 867500 1388000 1513049 1735000 2776000 3026098 3470000 6052196 6940000 7565245 12104392 13880000 15130490 24208784 30260980 37826225 48417568 60521960 75652450 96835136 121043920 151304900 189131125 242087840 302609800 378262250 484175680 525028003 605219600 756524500 945655625 1050056006 1210439200 1513049000 1891311250 2100112012 2420878400 2625140015 3026098000 3782622500 4200224024 5250280030 6052196000 7565245000 8400448048 10500560060 12104392000 13125700075 15130490000 16800896096 21001120120 26251400150 30260980000 33601792192 42002240240 52502800300 60521960000 65628500375 84004480480 105005600600 131257000750 168008960960 210011201200 262514001500 328142501875 420022402400 525028003000 656285003750 840044804800 1050056006000 1312570007500 2100112012000 2625140015000 4200224024000 5250280030000 10500560060000 21001120120000