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212244120300000 = 253552543278207
BaseRepresentation
bin110000010000100011101111…
…011001010110100111100000
31000211111100011200010022101110
4300100203233121112213200
5210304401424244100000
62031223334112503320
762464063105542345
oct6020435731264740
91024440150108343
10212244120300000
116169a2537977a8
121b97a3ba54ab40
1391576c4872209
143a5a95519c7cc
151980e53a05850
hexc108ef6569e0

212244120300000 has 288 divisors, whose sum is σ = 696657795047424. Its totient is φ = 56575972160000.

The previous prime is 212244120299993. The next prime is 212244120300007. The reversal of 212244120300000 is 3021442212.

It is an interprime number because it is at equal distance from previous prime (212244120299993) and next prime (212244120300007).

It is a self number, because there is not a number n which added to its sum of digits gives 212244120300000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212244120300007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 762760897 + ... + 763039103.

It is an arithmetic number, because the mean of its divisors is an integer number (2418950677248).

Almost surely, 2212244120300000 is an apocalyptic number.

212244120300000 is a gapful number since it is divisible by the number (20) 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 212244120300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348328897523712).

212244120300000 is an abundant number, since it is smaller than the sum of its proper divisors (484413674747424).

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

212244120300000 is an equidigital number, since it uses as much as digits as its factorization.

212244120300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280788 (or 280760 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 212244120300000 its reverse (3021442212), we get a palindrome (212247141742212).

The spelling of 212244120300000 in words is "two hundred twelve trillion, two hundred forty-four billion, one hundred twenty million, three hundred thousand".