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121123102320 = 2432511233717971
BaseRepresentation
bin111000011001101111…
…1111101111001110000
3102120122021111010020200
41300303133331321300
53441030003233240
6131350532235200
711515354245123
oct1606337757160
9376567433220
10121123102320
1147405919560
121b583a6bb00
13b563a9655c
145c1057a3ba
15323d8a1930
hex1c337fde70

121123102320 has 480 divisors, whose sum is σ = 475585703424. Its totient is φ = 27325900800.

The previous prime is 121123102291. The next prime is 121123102349. The reversal of 121123102320 is 23201321121.

121123102320 is a `hidden beast` number, since 1 + 21 + 12 + 310 + 2 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (121123102291) and next prime (121123102349).

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 = 121123102293 and 121123102302.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6730935 + ... + 6748905.

Almost surely, 2121123102320 is an apocalyptic number.

121123102320 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 121123102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237792851712).

121123102320 is an abundant number, since it is smaller than the sum of its proper divisors (354462601104).

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

121123102320 is a wasteful number, since it uses less digits than its factorization.

121123102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18061 (or 18052 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121123102320 its reverse (23201321121), we get a palindrome (144324423441).

The spelling of 121123102320 in words is "one hundred twenty-one billion, one hundred twenty-three million, one hundred two thousand, three hundred twenty".