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121312223100000 = 253355352712739
BaseRepresentation
bin11011100101010100110011…
…111101101111110001100000
3120220112100001102001022012000
4123211110303331233301200
5111400034413103200000
61110002022124004000
734360342656406602
oct3345246375576140
9526470042038160
10121312223100000
1135721252378339
1211733156090600
13528c90297035a
1421d5785b0d172
15e059216ba000
hex6e5533f6fc60

121312223100000 has 576 divisors, whose sum is σ = 442415958566400. Its totient is φ = 32338215360000.

The previous prime is 121312223099909. The next prime is 121312223100001. The reversal of 121312223100000 is 1322213121.

121312223100000 is a `hidden beast` number, since 1 + 2 + 131 + 222 + 310 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1213122231000002 (a number of 29 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 not an unprimeable number, because it can be changed into a prime (121312223100001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9522893631 + ... + 9522906369.

It is an arithmetic number, because the mean of its divisors is an integer number (768083261400).

Almost surely, 2121312223100000 is an apocalyptic number.

121312223100000 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 121312223100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221207979283200).

121312223100000 is an abundant number, since it is smaller than the sum of its proper divisors (321103735466400).

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

121312223100000 is an equidigital number, since it uses as much as digits as its factorization.

121312223100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16310 (or 16276 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121312223100000 its reverse (1322213121), we get a palindrome (121313545313121).

The spelling of 121312223100000 in words is "one hundred twenty-one trillion, three hundred twelve billion, two hundred twenty-three million, one hundred thousand".