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121202122120000 = 265441632911677
BaseRepresentation
bin11011100011101110010001…
…011011110101101101000000
3120220010210212021122000021221
4123203232101123311231000
5111341233421230320000
61105435253005524424
734346364400463035
oct3343562133655500
9526123767560257
10121202122120000
1135689593227489
1211715949573714
13528240757888c
1421d02dd36138c
15e02b2a7c761a
hex6e3b916f5b40

121202122120000 has 280 divisors, whose sum is σ = 307947176265960. Its totient is φ = 47286865920000.

The previous prime is 121202122119977. The next prime is 121202122120003. The reversal of 121202122120000 is 21221202121.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 118027538946304 + 3174583173696 = 10864048^2 + 1781736^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121202122120003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10379554162 + ... + 10379565838.

It is an arithmetic number, because the mean of its divisors is an integer number (1099811343807).

Almost surely, 2121202122120000 is an apocalyptic number.

121202122120000 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 121202122120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153973588132980).

121202122120000 is an abundant number, since it is smaller than the sum of its proper divisors (186745054145960).

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

121202122120000 is an equidigital number, since it uses as much as digits as its factorization.

121202122120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18079 (or 18054 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121202122120000 its reverse (21221202121), we get a palindrome (121223343322121).

The spelling of 121202122120000 in words is "one hundred twenty-one trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty thousand".