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121222121020 = 2257111310159951
BaseRepresentation
bin111000011100101100…
…1101100011000111100
3102120220011210210100221
41300321121230120330
53441230330333040
6131404430431124
711520666012310
oct1607131543074
9376804723327
10121222121020
11474567aa7a0
121b5b10624a4
13b57b4554c0
145c1d793b40
15324741074a
hex1c3966c63c

121222121020 has 192 divisors, whose sum is σ = 345185390592. Its totient is φ = 34531200000.

The previous prime is 121222121011. The next prime is 121222121047. The reversal of 121222121020 is 20121222121.

It is a happy number.

121222121020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 121222120985 and 121222121003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1992045 + ... + 2051995.

It is an arithmetic number, because the mean of its divisors is an integer number (1797840576).

Almost surely, 2121222121020 is an apocalyptic number.

121222121020 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 121222121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172592695296).

121222121020 is an abundant number, since it is smaller than the sum of its proper divisors (223963269572).

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

121222121020 is a wasteful number, since it uses less digits than its factorization.

121222121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60092 (or 60090 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121222121020 its reverse (20121222121), we get a palindrome (141343343141).

It can be divided in two parts, 121222 and 121020, that added together give a palindrome (242242).

The spelling of 121222121020 in words is "one hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-one thousand, twenty".