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121123321121 = 11677313716433
BaseRepresentation
bin111000011001110000…
…0110011010100100001
3102120122021220020101102
41300303200303110201
53441030032233441
6131350541044145
711515356146045
oct1606340632441
9376567806342
10121123321121
1147405a58990
121b583b56655
13b563b4201a
145c105d6025
15323d8e669b
hex1c33833521

121123321121 has 32 divisors (see below), whose sum is σ = 136944390528. Its totient is φ = 106195415040.

The previous prime is 121123321091. The next prime is 121123321139.

121123321121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121123321121 - 26 = 121123321057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121123321093 and 121123321102.

It is not an unprimeable number, because it can be changed into a prime (121123321421) 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, 7362521 + ... + 7378953.

It is an arithmetic number, because the mean of its divisors is an integer number (4279512204).

Almost surely, 2121123321121 is an apocalyptic number.

121123321121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121123321121 is a deficient number, since it is larger than the sum of its proper divisors (15821069407).

121123321121 is a wasteful number, since it uses less digits than its factorization.

121123321121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16721.

The product of its digits is 144, while the sum is 20.

It can be divided in two parts, 121123 and 321121, that added together give a palindrome (442244).

The spelling of 121123321121 in words is "one hundred twenty-one billion, one hundred twenty-three million, three hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 11 67 73 137 737 803 1507 4891 9179 10001 16433 53801 100969 110011 180763 670067 1101011 1199609 2251321 7370737 12111121 13195699 24764531 80373803 150838507 164346433 884111833 1659223577 1807810763 11011211011 121123321121