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12121011211120 = 24571923239207239
BaseRepresentation
bin1011000001100010010010…
…0100010100101101110000
31120220202110010000120011121
42300120210210110231300
53042042312332223440
641440152104152024
72360466646231210
oct260304444245560
946822403016147
1012121011211120
11395354591a899
121439172168614
1369c01123b016
142dc935350240
15160466a6e34a
hexb0624914b70

12121011211120 has 320 divisors, whose sum is σ = 35524583424000. Its totient is φ = 3750099268608.

The previous prime is 12121011211117. The next prime is 12121011211129. The reversal of 12121011211120 is 2111211012121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12121011211094 and 12121011211103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121011211129) 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, 58384461 + ... + 58591699.

It is an arithmetic number, because the mean of its divisors is an integer number (111014323200).

Almost surely, 212121011211120 is an apocalyptic number.

12121011211120 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 12121011211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17762291712000).

12121011211120 is an abundant number, since it is smaller than the sum of its proper divisors (23403572212880).

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

12121011211120 is a wasteful number, since it uses less digits than its factorization.

12121011211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207540 (or 207534 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 12121011211120 its reverse (2111211012121), we get a palindrome (14232222223241).

The spelling of 12121011211120 in words is "twelve trillion, one hundred twenty-one billion, eleven million, two hundred eleven thousand, one hundred twenty".