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12100331323120 = 245223678269693
BaseRepresentation
bin1011000000010101001111…
…1100110011111011110000
31120211210001220011101220211
42300011103330303323300
53041222434304314440
641422452050313504
72356135330126435
oct260052374637360
946753056141824
1012100331323120
1139457a3638967
121435160588894
1369a096a463c1
142db932a47b8c
1515eb562a4eea
hexb0153f33ef0

12100331323120 has 40 divisors (see below), whose sum is σ = 28259428530816. Its totient is φ = 4818427891968.

The previous prime is 12100331323051. The next prime is 12100331323127. The reversal of 12100331323120 is 2132313300121.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12100331323091 and 12100331323100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100331323127) 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 7 ways as a sum of consecutive naturals, for example, 339117007 + ... + 339152686.

Almost surely, 212100331323120 is an apocalyptic number.

12100331323120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100331323120 is an abundant number, since it is smaller than the sum of its proper divisors (16159097207696).

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

12100331323120 is a wasteful number, since it uses less digits than its factorization.

12100331323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678269929 (or 678269923 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12100331323120 its reverse (2132313300121), we get a palindrome (14232644623241).

The spelling of 12100331323120 in words is "twelve trillion, one hundred billion, three hundred thirty-one million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 223 446 892 1115 1784 2230 3568 4460 8920 17840 678269693 1356539386 2713078772 3391348465 5426157544 6782696930 10852315088 13565393860 27130787720 54261575440 151254141539 302508283078 605016566156 756270707695 1210033132312 1512541415390 2420066264624 3025082830780 6050165661560 12100331323120