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121122231120 = 243351114934213
BaseRepresentation
bin111000011001101110…
…0101001001101010000
3102120122012211212012000
41300303130221031100
53441024242343440
6131350501434000
711515343656152
oct1606334511520
9376565755160
10121122231120
1147405383a60
121b58370b900
13b56384cb57
145c103d0ad2
15323d77d730
hex1c33729350

121122231120 has 320 divisors, whose sum is σ = 458193888000. Its totient is φ = 29165045760.

The previous prime is 121122231079. The next prime is 121122231127. The reversal of 121122231120 is 21132221121.

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 = 121122231093 and 121122231102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122231127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3523134 + ... + 3557346.

It is an arithmetic number, because the mean of its divisors is an integer number (1431855900).

Almost surely, 2121122231120 is an apocalyptic number.

121122231120 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 121122231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229096944000).

121122231120 is an abundant number, since it is smaller than the sum of its proper divisors (337071656880).

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

121122231120 is a wasteful number, since it uses less digits than its factorization.

121122231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34395 (or 34383 counting only the distinct ones).

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

Adding to 121122231120 its reverse (21132221121), we get a palindrome (142254452241).

Subtracting from 121122231120 its reverse (21132221121), we obtain a palindrome (99990009999).

The spelling of 121122231120 in words is "one hundred twenty-one billion, one hundred twenty-two million, two hundred thirty-one thousand, one hundred twenty".