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12134211320000 = 265471129135851
BaseRepresentation
bin1011000010010011011101…
…0110101111100011000000
31120222000112001100120102002
42300210313112233203000
53042301331044220000
641450214004243132
72361445032265520
oct260446726574300
946860461316362
1012134211320000
1139590a9a51a90
12143b8369a04a8
136a0335c04733
142dd4284c9680
1516098a84c8d5
hexb09375af8c0

12134211320000 has 560 divisors, whose sum is σ = 38807286693120. Its totient is φ = 3651648000000.

The previous prime is 12134211319999. The next prime is 12134211320017. The reversal of 12134211320000 is 2311243121.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×121342113200002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89252075 + ... + 89387925.

Almost surely, 212134211320000 is an apocalyptic number.

12134211320000 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 12134211320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19403643346560).

12134211320000 is an abundant number, since it is smaller than the sum of its proper divisors (26673075373120).

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

12134211320000 is a wasteful number, since it uses less digits than its factorization.

12134211320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135930 (or 135905 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12134211320000 its reverse (2311243121), we get a palindrome (12136522563121).

The spelling of 12134211320000 in words is "twelve trillion, one hundred thirty-four billion, two hundred eleven million, three hundred twenty thousand".