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121212120312 = 23322207976249
BaseRepresentation
bin111000011100011001…
…1100010110011111000
3102120212110222200222100
41300320303202303320
53441220300322222
6131403432223400
711520515010603
oct1607063426370
9376773880870
10121212120312
114745109a048
121b5a983ab60
13b57936351a
145c1c30d33a
1532465d74ac
hex1c38ce2cf8

121212120312 has 48 divisors (see below), whose sum is σ = 328302000000. Its totient is φ = 40401680256.

The previous prime is 121212120277. The next prime is 121212120397. The reversal of 121212120312 is 213021212121.

121212120312 is a `hidden beast` number, since 1 + 21 + 212 + 120 + 312 = 666.

It is a super-2 number, since 2×1212121203122 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1551564 + ... + 1627812.

It is an arithmetic number, because the mean of its divisors is an integer number (6839625000).

Almost surely, 2121212120312 is an apocalyptic number.

121212120312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121212120312 is an abundant number, since it is smaller than the sum of its proper divisors (207089879688).

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

121212120312 is a wasteful number, since it uses less digits than its factorization.

121212120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98340 (or 98333 counting only the distinct ones).

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

Adding to 121212120312 its reverse (213021212121), we get a palindrome (334233332433).

The spelling of 121212120312 in words is "one hundred twenty-one billion, two hundred twelve million, one hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 22079 44158 66237 76249 88316 132474 152498 176632 198711 228747 264948 304996 397422 457494 529896 609992 686241 794844 914988 1372482 1589688 1829976 2744964 5489928 1683501671 3367003342 5050505013 6734006684 10101010026 13468013368 15151515039 20202020052 30303030078 40404040104 60606060156 121212120312