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12122010000000 = 2732573672
BaseRepresentation
bin1011000001100110000000…
…0110011001101010000000
31120220212000201102021221100
42300121200012121222000
53042101334030000000
641440435143454400
72360533464626145
oct260314006315200
946825021367840
1012122010000000
113953a0869674a
1214393b0757400
1369c140142b64
142dc9cbc643cc
151604c45b1a00
hexb0660199a80

12122010000000 has 576 divisors, whose sum is σ = 43721953989480. Its totient is φ = 3223728000000.

The previous prime is 12122009999987. The next prime is 12122010000013. The reversal of 12122010000000 is 1022121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (12122009999987) and next prime (12122010000013).

It can be written as a sum of positive squares in 4 ways, for example, as 7311918851136 + 4810091148864 = 2704056^2 + 2193192^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33029999817 + ... + 33030000183.

Almost surely, 212122010000000 is an apocalyptic number.

12122010000000 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 12122010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21860976994740).

12122010000000 is an abundant number, since it is smaller than the sum of its proper divisors (31599943989480).

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

12122010000000 is an frugal number, since it uses more digits than its factorization.

12122010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12122010000000 its reverse (1022121), we get a palindrome (12122011022121).

The spelling of 12122010000000 in words is "twelve trillion, one hundred twenty-two billion, ten million", and thus it is an aban number.