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12300123312312 = 2331124235579653
BaseRepresentation
bin1011001011111101100001…
…1110110001000010111000
31121112212202202001001020020
42302333120132301002320
53103011123031443222
642054333150130440
72406440344043103
oct262773036610270
947485682031206
1012300123312312
113a124a8a45500
121467a1a4b0a20
136b2b86c34c54
1430748725d73a
15164e4b33b65c
hexb2fd87b10b8

12300123312312 has 48 divisors (see below), whose sum is σ = 33799925638920. Its totient is φ = 3727310093760.

The previous prime is 12300123312223. The next prime is 12300123312319. The reversal of 12300123312312 is 21321332100321.

It is a super-2 number, since 2×123001233123122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300123312319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2117786923 + ... + 2117792730.

Almost surely, 212300123312312 is an apocalyptic number.

12300123312312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12300123312312 is an abundant number, since it is smaller than the sum of its proper divisors (21499802326608).

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

12300123312312 is a wasteful number, since it uses less digits than its factorization.

12300123312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235579684 (or 4235579669 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12300123312312 its reverse (21321332100321), we get a palindrome (33621455412633).

The spelling of 12300123312312 in words is "twelve trillion, three hundred billion, one hundred twenty-three million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 4235579653 8471159306 12706738959 16942318612 25413477918 33884637224 46591376183 50826955836 93182752366 101653911672 139774128549 186365504732 279548257098 372731009464 512505138013 559096514196 1025010276026 1118193028392 1537515414039 2050020552052 3075030828078 4100041104104 6150061656156 12300123312312