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121012210000 = 2454116171783
BaseRepresentation
bin111000010110011100…
…0111100100101010000
3102120100112211012120201
41300230320330211100
53440313111210000
6131331531344544
711512536545653
oct1605470744520
9376315735521
10121012210000
1147359268510
121b5528b2154
13b546b0acb6
145bdd95189a
153233c9996a
hex1c2ce3c950

121012210000 has 200 divisors, whose sum is σ = 320315016384. Its totient is φ = 43908480000.

The previous prime is 121012209991. The next prime is 121012210003. The reversal of 121012210000 is 12210121.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121012210003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 67869109 + ... + 67870891.

Almost surely, 2121012210000 is an apocalyptic number.

121012210000 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 121012210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160157508192).

121012210000 is an abundant number, since it is smaller than the sum of its proper divisors (199302806384).

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

121012210000 is a wasteful number, since it uses less digits than its factorization.

121012210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121012210000 its reverse (12210121), we get a palindrome (121024420121).

The spelling of 121012210000 in words is "one hundred twenty-one billion, twelve million, two hundred ten thousand".