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12301122010320 = 243251113119474767
BaseRepresentation
bin1011001100000001010000…
…0000011111110011010000
31121112222100100021011100100
42303000110000133303100
53103020144213312240
642055020223452400
72406504161612103
oct263002400376320
947488310234310
1012301122010320
113a1297075a060
121468058a57100
136b2cb5b07610
1430753db4c73a
15164ea8d61e30
hexb301401fcd0

12301122010320 has 240 divisors, whose sum is σ = 48533518156032. Its totient is φ = 2752698608640.

The previous prime is 12301122010301. The next prime is 12301122010337. The reversal of 12301122010320 is 2301022110321.

12301122010320 is a `hidden beast` number, since 1 + 2 + 30 + 112 + 201 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12301122010293 and 12301122010302.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 59634424 + ... + 59840343.

Almost surely, 212301122010320 is an apocalyptic number.

12301122010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12301122010320 is an abundant number, since it is smaller than the sum of its proper divisors (36232396145712).

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

12301122010320 is a wasteful number, since it uses less digits than its factorization.

12301122010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119474810 (or 119474801 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12301122010320 its reverse (2301022110321), we get a palindrome (14602144120641).

The spelling of 12301122010320 in words is "twelve trillion, three hundred one billion, one hundred twenty-two million, ten thousand, three hundred twenty".