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121332321120 = 25351714999793
BaseRepresentation
bin111000011111111111…
…0000100101101100000
3102121011212011112111010
41300333332010231200
53441442033233440
6131423404420520
711523504466353
oct1607776045540
9377155145433
10121332321120
1147502a2875a
121b621b47740
13b59822a96a
145c3027c29a
153251e2c580
hex1c3ff84b60

121332321120 has 192 divisors, whose sum is σ = 407399025600. Its totient is φ = 30247354368.

The previous prime is 121332321073. The next prime is 121332321127. The reversal of 121332321120 is 21123233121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121332321127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1165944 + ... + 1265736.

It is an arithmetic number, because the mean of its divisors is an integer number (2121869925).

Almost surely, 2121332321120 is an apocalyptic number.

121332321120 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 121332321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203699512800).

121332321120 is an abundant number, since it is smaller than the sum of its proper divisors (286066704480).

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

121332321120 is a wasteful number, since it uses less digits than its factorization.

121332321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99977 (or 99969 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 121332321120 its reverse (21123233121), we get a palindrome (142455554241).

The spelling of 121332321120 in words is "one hundred twenty-one billion, three hundred thirty-two million, three hundred twenty-one thousand, one hundred twenty".