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121122321120 = 253251671992531
BaseRepresentation
bin111000011001101110…
…0111111001011100000
3102120122020000102122100
41300303130333023200
53441024303233440
6131350503410400
711515344512433
oct1606334771340
9376566012570
10121122321120
1147405435639
121b583753a00
13b563881ac8
145c1041581a
15323d79a230
hex1c3373f2e0

121122321120 has 288 divisors, whose sum is σ = 418059532800. Its totient is φ = 31931919360.

The previous prime is 121122321113. The next prime is 121122321143. The reversal of 121122321120 is 21123221121.

121122321120 is a `hidden beast` number, since 1 + 211 + 223 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121122321093 and 121122321102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47854255 + ... + 47856785.

It is an arithmetic number, because the mean of its divisors is an integer number (1451595600).

Almost surely, 2121122321120 is an apocalyptic number.

121122321120 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 121122321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209029766400).

121122321120 is an abundant number, since it is smaller than the sum of its proper divisors (296937211680).

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

121122321120 is a wasteful number, since it uses less digits than its factorization.

121122321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121122321120 its reverse (21123221121), we get a palindrome (142245542241).

Subtracting from 121122321120 its reverse (21123221121), we obtain a palindrome (99999099999).

The spelling of 121122321120 in words is "one hundred twenty-one billion, one hundred twenty-two million, three hundred twenty-one thousand, one hundred twenty".