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121212342400 = 275241990403
BaseRepresentation
bin111000011100011010…
…0011001000010000000
3102120212111101222121211
41300320310121002000
53441220324424100
6131403441055504
711520516624232
oct1607064310200
9376774358554
10121212342400
1147451230996
121b5a9927594
13b579410636
145c1c36a252
15324662d1ba
hex1c38d19080

121212342400 has 96 divisors (see below), whose sum is σ = 300150320400. Its totient is φ = 48368686080.

The previous prime is 121212342337. The next prime is 121212342401. The reversal of 121212342400 is 4243212121.

It is not an unprimeable number, because it can be changed into a prime (121212342401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1295599 + ... + 1386001.

Almost surely, 2121212342400 is an apocalyptic number.

121212342400 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 121212342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150075160200).

121212342400 is an abundant number, since it is smaller than the sum of its proper divisors (178937978000).

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

121212342400 is an equidigital number, since it uses as much as digits as its factorization.

121212342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90846 (or 90829 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 121212342400 its reverse (4243212121), we get a palindrome (125455554521).

The spelling of 121212342400 in words is "one hundred twenty-one billion, two hundred twelve million, three hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 419 640 800 838 1600 1676 2095 3200 3352 4190 6704 8380 10475 13408 16760 20950 26816 33520 41900 53632 67040 83800 90403 134080 167600 180806 268160 335200 361612 452015 670400 723224 904030 1340800 1446448 1808060 2260075 2892896 3616120 4520150 5785792 7232240 9040300 11571584 14464480 18080600 28928960 36161200 37878857 57857920 72322400 75757714 144644800 151515428 189394285 289289600 303030856 378788570 606061712 757577140 946971425 1212123424 1515154280 1893942850 2424246848 3030308560 3787885700 4848493696 6060617120 7575771400 12121234240 15151542800 24242468480 30303085600 60606171200 121212342400