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121212101220012 = 22321137431132118069
BaseRepresentation
bin11011100011110111100100…
…001111000101011010101100
3120220011202121202001211000200
4123203313210033011122230
5111341414340403020022
61105444023124353500
734350166602440055
oct3343674417053254
9526152552054020
10121212101220012
1135692844166a80
1211717873545890
135283337b2909a
1421d09a880372c
15e03011907bac
hex6e3de43c56ac

121212101220012 has 576 divisors, whose sum is σ = 356100971466240. Its totient is φ = 34429938278400.

The previous prime is 121212101220011. The next prime is 121212101220019. The reversal of 121212101220012 is 210022101212121.

121212101220012 is a `hidden beast` number, since 121 + 212 + 101 + 220 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121212101220011) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15021944314 + ... + 15021952382.

It is an arithmetic number, because the mean of its divisors is an integer number (618230853240).

Almost surely, 2121212101220012 is an apocalyptic number.

121212101220012 is a gapful number since it is divisible by the number (12) 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 121212101220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178050485733120).

121212101220012 is an abundant number, since it is smaller than the sum of its proper divisors (234888870246228).

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

121212101220012 is a wasteful number, since it uses less digits than its factorization.

121212101220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8494 (or 8489 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121212101220012 its reverse (210022101212121), we get a palindrome (331234202432133).

The spelling of 121212101220012 in words is "one hundred twenty-one trillion, two hundred twelve billion, one hundred one million, two hundred twenty thousand, twelve".