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121021221200 = 24521147761769
BaseRepresentation
bin111000010110101101…
…1010100100101010000
3102120101011210000121212
41300231123110211100
53440322413034300
6131332452435252
711513006256455
oct1605533244520
9376334700555
10121021221200
1147363362790
121b555918b28
13b548944779
145c00c1982c
153234979935
hex1c2d6d4950

121021221200 has 240 divisors, whose sum is σ = 324781712640. Its totient is φ = 42958848000.

The previous prime is 121021221199. The next prime is 121021221241. The reversal of 121021221200 is 2122120121.

It is a super-4 number, since 4×1210212212004 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157374416 + ... + 157375184.

It is an arithmetic number, because the mean of its divisors is an integer number (1353257136).

Almost surely, 2121021221200 is an apocalyptic number.

121021221200 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 121021221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162390856320).

121021221200 is an abundant number, since it is smaller than the sum of its proper divisors (203760491440).

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

121021221200 is a wasteful number, since it uses less digits than its factorization.

121021221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1595 counting only the distinct ones).

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

Adding to 121021221200 its reverse (2122120121), we get a palindrome (123143341321).

The spelling of 121021221200 in words is "one hundred twenty-one billion, twenty-one million, two hundred twenty-one thousand, two hundred".