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1230210000000 = 27325713669
BaseRepresentation
bin10001111001101110001…
…110101110010010000000
311100121101110011010012100
4101321232032232102000
5130123432230000000
62341052313430400
7154610515315542
oct21715616562200
94317343133170
101230210000000
11434802523243
1217a50aa0b400
138c015328957
14437847d9692
1522001e96a00
hex11e6e3ae480

1230210000000 has 384 divisors, whose sum is σ = 4425384178800. Its totient is φ = 328032000000.

The previous prime is 1230209999983. The next prime is 1230210000011. The reversal of 1230210000000 is 120321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1023868754496 + 206341245504 = 1011864^2 + 454248^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89993166 + ... + 90006834.

Almost surely, 21230210000000 is an apocalyptic number.

1230210000000 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 1230210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212692089400).

1230210000000 is an abundant number, since it is smaller than the sum of its proper divisors (3195174178800).

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

1230210000000 is an frugal number, since it uses more digits than its factorization.

1230210000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13724 (or 13679 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1230210000000 its reverse (120321), we get a palindrome (1230210120321).

The spelling of 1230210000000 in words is "one trillion, two hundred thirty billion, two hundred ten million", and thus it is an aban number.