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121212440400 = 24352101010367
BaseRepresentation
bin111000011100011010…
…0110000111101010000
3102120212111120222001110
41300320310300331100
53441220341043100
6131403443133320
711520520513032
oct1607064607520
9376774528043
10121212440400
1147451298587
121b5a9974240
13b57944611c
145c1c393c52
15324664c250
hex1c38d30f50

121212440400 has 60 divisors (see below), whose sum is σ = 388283854592. Its totient is φ = 32323317120.

The previous prime is 121212440399. The next prime is 121212440417. The reversal of 121212440400 is 4044212121.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 50503984 + ... + 50506383.

Almost surely, 2121212440400 is an apocalyptic number.

121212440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121212440400 is an abundant number, since it is smaller than the sum of its proper divisors (267071414192).

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

121212440400 is a wasteful number, since it uses less digits than its factorization.

121212440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101010388 (or 101010377 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 121212440400 its reverse (4044212121), we get a palindrome (125256652521).

The spelling of 121212440400 in words is "one hundred twenty-one billion, two hundred twelve million, four hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 101010367 202020734 303031101 404041468 505051835 606062202 808082936 1010103670 1212124404 1515155505 1616165872 2020207340 2424248808 2525259175 3030311010 4040414680 4848497616 5050518350 6060622020 7575777525 8080829360 10101036700 12121244040 15151555050 20202073400 24242488080 30303110100 40404146800 60606220200 121212440400