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201021121220000 = 255410051056061
BaseRepresentation
bin101101101101001111100000…
…100001011100110110100000
3222100202102122120100121222212
4231231033200201130312200
5202322012224013020000
61551311454521021252
760225203531423444
oct5555174041346640
9870672576317885
10201021121220000
1159062640356464
121a6672a6924828
138822297302823
14378d68d216824
151839049be9c35
hexb6d3e085cda0

201021121220000 has 60 divisors (see below), whose sum is σ = 494542111418586. Its totient is φ = 80408448480000.

The previous prime is 201021121219909. The next prime is 201021121220009. The reversal of 201021121220000 is 22121120102.

It can be written as a sum of positive squares in 5 ways, for example, as 23859590698384 + 177161530521616 = 4884628^2 + 13310204^2 .

It is not an unprimeable number, because it can be changed into a prime (201021121220009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5025508031 + ... + 5025548030.

Almost surely, 2201021121220000 is an apocalyptic number.

201021121220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201021121220000 is an abundant number, since it is smaller than the sum of its proper divisors (293520990198586).

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

201021121220000 is an equidigital number, since it uses as much as digits as its factorization.

201021121220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10051056091 (or 10051056068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201021121220000 its reverse (22121120102), we get a palindrome (201043242340102).

The spelling of 201021121220000 in words is "two hundred one trillion, twenty-one billion, one hundred twenty-one million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 10051056061 20102112122 40204224244 50255280305 80408448488 100510560610 160816896976 201021121220 251276401525 321633793952 402042242440 502552803050 804084484880 1005105606100 1256382007625 1608168969760 2010211212200 2512764015250 4020422424400 5025528030500 6281910038125 8040844848800 10051056061000 12563820076250 20102112122000 25127640152500 40204224244000 50255280305000 100510560610000 201021121220000