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121201210212012 = 223373117994130703
BaseRepresentation
bin11011100011101101011011…
…000101001011111010101100
3120220010201111201201021201000
4123203231123011023322230
5111341230034303241022
61105435022312320300
734346332655420130
oct3343553305137254
9526121451637630
10121201210212012
1135689165501517
12117157340a3090
1352822c0673058
1421d02541c53c0
15e02ac56e76ac
hex6e3b5b14beac

121201210212012 has 384 divisors, whose sum is σ = 373178282803200. Its totient is φ = 33288139987200.

The previous prime is 121201210211933. The next prime is 121201210212073. The reversal of 121201210212012 is 210212012102121.

121201210212012 is a `hidden beast` number, since 121 + 201 + 210 + 2 + 120 + 12 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3947521053 + ... + 3947551755.

It is an arithmetic number, because the mean of its divisors is an integer number (971818444800).

Almost surely, 2121201210212012 is an apocalyptic number.

121201210212012 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 121201210212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186589141401600).

121201210212012 is an abundant number, since it is smaller than the sum of its proper divisors (251977072591188).

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

121201210212012 is a wasteful number, since it uses less digits than its factorization.

121201210212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31874 (or 31866 counting only the distinct ones).

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

Adding to 121201210212012 its reverse (210212012102121), we get a palindrome (331413222314133).

The spelling of 121201210212012 in words is "one hundred twenty-one trillion, two hundred one billion, two hundred ten million, two hundred twelve thousand, twelve".