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212202100120000 = 26545305052503
BaseRepresentation
bin110000001111111100100110…
…110011000101100111000000
31000211100022201012201222220111
4300033330212303011213000
5210303204400112320000
62031152144330321104
762461044601111054
oct6017744663054700
91024308635658814
10212202100120000
1161683450469611
121b972231b89194
1391537590cb293
143a588ca5a1c64
15197ece49c1cba
hexc0ff26cc59c0

212202100120000 has 70 divisors (see below), whose sum is σ = 526192242714248. Its totient is φ = 84880840032000.

The previous prime is 212202100119943. The next prime is 212202100120009. The reversal of 212202100120000 is 21001202212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212202100120009) 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, 2652486252 + ... + 2652566251.

Almost surely, 2212202100120000 is an apocalyptic number.

212202100120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202100120000 is an abundant number, since it is smaller than the sum of its proper divisors (313990142594248).

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

212202100120000 is an frugal number, since it uses more digits than its factorization.

212202100120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305052535 (or 5305052510 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212202100120000 its reverse (21001202212), we get a palindrome (212223101322212).

The spelling of 212202100120000 in words is "two hundred twelve trillion, two hundred two billion, one hundred million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 5305052503 10610105006 21220210012 26525262515 42440420024 53050525030 84880840048 106101050060 132626312575 169761680096 212202100120 265252625150 339523360192 424404200240 530505250300 663131562875 848808400480 1061010500600 1326263125750 1697616800960 2122021001200 2652526251500 3315657814375 4244042002400 5305052503000 6631315628750 8488084004800 10610105006000 13262631257500 21220210012000 26525262515000 42440420024000 53050525030000 106101050060000 212202100120000