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12111221100000 = 25355113799191
BaseRepresentation
bin1011000000111101110100…
…0010000000110111100000
31120212211011211012101110110
42300033131002000313200
53041412240100200000
641431452420131320
72360002230531201
oct260173502006740
946784154171413
1012111221100000
11394a381632470
12143729b536b40
1369b110b8ac69
142dc2870255a8
15160092320850
hexb03dd080de0

12111221100000 has 576 divisors, whose sum is σ = 44521959412224. Its totient is φ = 2856672000000.

The previous prime is 12111221099981. The next prime is 12111221100019. The reversal of 12111221100000 is 112211121.

It is an interprime number because it is at equal distance from previous prime (12111221099981) and next prime (12111221100019).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122050405 + ... + 122149595.

It is an arithmetic number, because the mean of its divisors is an integer number (77295068424).

Almost surely, 212111221100000 is an apocalyptic number.

12111221100000 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 12111221100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22260979706112).

12111221100000 is an abundant number, since it is smaller than the sum of its proper divisors (32410738312224).

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

12111221100000 is an equidigital number, since it uses as much as digits as its factorization.

12111221100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99277 (or 99249 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12111221100000 its reverse (112211121), we get a palindrome (12111333311121).

It can be divided in two parts, 12111221 and 100000, that added together give a palindrome (12211221).

The spelling of 12111221100000 in words is "twelve trillion, one hundred eleven billion, two hundred twenty-one million, one hundred thousand".