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12102310020000 = 25354379915501
BaseRepresentation
bin1011000000011100100111…
…1000111100001110100000
31120211222011210102121202110
42300013021320330032200
53041241012331120000
641423420252515320
72356235344564134
oct260071170741640
946758153377673
1012102310020000
113946619555142
12143561317bb40
1369a320972165
142dba7d7593c4
1515ec1ed5a850
hexb01c9e3c3a0

12102310020000 has 480 divisors, whose sum is σ = 40819476386304. Its totient is φ = 3136320000000.

The previous prime is 12102310019971. The next prime is 12102310020013. The reversal of 12102310020000 is 2001320121.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2200017250 + ... + 2200022750.

Almost surely, 212102310020000 is an apocalyptic number.

12102310020000 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 12102310020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20409738193152).

12102310020000 is an abundant number, since it is smaller than the sum of its proper divisors (28717166366304).

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

12102310020000 is an equidigital number, since it uses as much as digits as its factorization.

12102310020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6562 (or 6539 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12102310020000 its reverse (2001320121), we get a palindrome (12104311340121).

The spelling of 12102310020000 in words is "twelve trillion, one hundred two billion, three hundred ten million, twenty thousand".