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121113410420 = 225174143972083
BaseRepresentation
bin111000011001011101…
…0111111101101110100
3102120121121020201110102
41300302322333231310
53441020013113140
6131345544413232
711515206000632
oct1606272775564
9376547221412
10121113410420
11474003a9922
121b580777218
13b561a81cc2
145c0d176352
15323cad9e15
hex1c32ebfb74

121113410420 has 192 divisors, whose sum is σ = 285330076416. Its totient is φ = 42980474880.

The previous prime is 121113410401. The next prime is 121113410477. The reversal of 121113410420 is 24014311121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121113410392 and 121113410401.

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 63 ways as a sum of consecutive naturals, for example, 58142699 + ... + 58144781.

It is an arithmetic number, because the mean of its divisors is an integer number (1486094148).

Almost surely, 2121113410420 is an apocalyptic number.

121113410420 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 121113410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142665038208).

121113410420 is an abundant number, since it is smaller than the sum of its proper divisors (164216665996).

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

121113410420 is a wasteful number, since it uses less digits than its factorization.

121113410420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 121113410420 its reverse (24014311121), we get a palindrome (145127721541).

The spelling of 121113410420 in words is "one hundred twenty-one billion, one hundred thirteen million, four hundred ten thousand, four hundred twenty".