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13212956786112 = 263389106980369
BaseRepresentation
bin1100000001000110000110…
…0110000111110111000000
31201210010221200021010221000
43000101201212013313000
53212440113414123422
644033540515332000
72532414246411126
oct300214146076700
951703850233830
1013212956786112
114234646710096
1215949145b1000
1374ac90428925
14339720c23916
1517da75373cac
hexc0461987dc0

13212956786112 has 224 divisors, whose sum is σ = 39317325480000. Its totient is φ = 4350704320512.

The previous prime is 13212956786083. The next prime is 13212956786137. The reversal of 13212956786112 is 21168765921231.

13212956786112 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 9 + 567 + 8 + 61 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 164363464 + ... + 164443832.

Almost surely, 213212956786112 is an apocalyptic number.

13212956786112 is a gapful number since it is divisible by the number (12) 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 13212956786112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19658662740000).

13212956786112 is an abundant number, since it is smaller than the sum of its proper divisors (26104368693888).

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

13212956786112 is a wasteful number, since it uses less digits than its factorization.

13212956786112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81548 (or 81532 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 13212956786112 in words is "thirteen trillion, two hundred twelve billion, nine hundred fifty-six million, seven hundred eighty-six thousand, one hundred twelve".