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12300455606244 = 223131731988315139
BaseRepresentation
bin1011001011111110110001…
…0010010111011111100100
31121112220121220022022210220
42302333230102113133210
53103012313113344434
642054430140244340
72406451520354061
oct262775422273744
947486556268726
1012300455606244
113a12659576893
121467ab18406b0
136b2c0aa2bb90
143074b943bc68
15164e6a5c8d49
hexb2fec4977e4

12300455606244 has 192 divisors, whose sum is σ = 33788363857920. Its totient is φ = 3446639216640.

The previous prime is 12300455606233. The next prime is 12300455606269. The reversal of 12300455606244 is 44260655400321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12300455606196 and 12300455606205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 812493627 + ... + 812508765.

It is an arithmetic number, because the mean of its divisors is an integer number (175981061760).

Almost surely, 212300455606244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12300455606244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16894181928960).

12300455606244 is an abundant number, since it is smaller than the sum of its proper divisors (21487908251676).

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

12300455606244 is a wasteful number, since it uses less digits than its factorization.

12300455606244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25090 (or 25088 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 12300455606244 in words is "twelve trillion, three hundred billion, four hundred fifty-five million, six hundred six thousand, two hundred forty-four".