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12696210438912 = 28367311131973
BaseRepresentation
bin1011100011000001000100…
…0111001111101100000000
31122221202010201211212000000
42320300101013033230000
53131003314333021122
643000320352000000
72450161634055000
oct270602107175400
948852121755000
1012696210438912
114055483892130
12151073b230000
1371132aa08990
1431c6dd8ac000
151703ce4700ac
hexb8c111cfb00

12696210438912 has 4032 divisors, whose sum is σ = 55548463488000. Its totient is φ = 2844328919040.

The previous prime is 12696210438853. The next prime is 12696210438929. The reversal of 12696210438912 is 21983401269621.

It is a happy number.

12696210438912 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 621 + 0 + 4 + 3 + 8 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×126962104389122 (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 173920690908 + ... + 173920690980.

Almost surely, 212696210438912 is an apocalyptic number.

12696210438912 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 12696210438912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27774231744000).

12696210438912 is an abundant number, since it is smaller than the sum of its proper divisors (42852253049088).

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

12696210438912 is an equidigital number, since it uses as much as digits as its factorization.

12696210438912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 12696210438912 in words is "twelve trillion, six hundred ninety-six billion, two hundred ten million, four hundred thirty-eight thousand, nine hundred twelve".