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121340425216 = 210145381553
BaseRepresentation
bin111000100000001110…
…0111111010000000000
3102121012102102021012211
41301000130333100000
53442001122101331
6131424254231504
711523633411433
oct1610034772000
9377172367184
10121340425216
114750756345a
121b6247b5594
13b599b0759a
145c3138b81a
1532529cd8b1
hex1c4073f400

121340425216 has 44 divisors (see below), whose sum is σ = 242732269252. Its totient is φ = 60627714048.

The previous prime is 121340425189. The next prime is 121340425231. The reversal of 121340425216 is 612524043121.

It can be written as a sum of positive squares in 2 ways, for example, as 103941760000 + 17398665216 = 322400^2 + 131904^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1447096 + ... + 1528648.

It is an arithmetic number, because the mean of its divisors is an integer number (5516642483).

Almost surely, 2121340425216 is an apocalyptic number.

121340425216 is a gapful number since it is divisible by the number (16) 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 121340425216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121366134626).

121340425216 is an abundant number, since it is smaller than the sum of its proper divisors (121391844036).

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

121340425216 is an equidigital number, since it uses as much as digits as its factorization.

121340425216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83026 (or 83008 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 121340425216 its reverse (612524043121), we get a palindrome (733864468337).

The spelling of 121340425216 in words is "one hundred twenty-one billion, three hundred forty million, four hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1453 2906 5812 11624 23248 46496 81553 92992 163106 185984 326212 371968 652424 743936 1304848 1487872 2609696 5219392 10438784 20877568 41755136 83510272 118496509 236993018 473986036 947972072 1895944144 3791888288 7583776576 15167553152 30335106304 60670212608 121340425216