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12100231211112 = 2332111737472711907
BaseRepresentation
bin1011000000010100110111…
…1110111010100001101000
31120211202210220210012001200
42300011031332322201220
53041222233142223422
641422434112444200
72356133003156622
oct260051576724150
946752726705050
1012100231211112
113945752080270
121435132b49660
1369a07c093925
142db923627c12
1515eb4c5cc2ac
hexb014dfba868

12100231211112 has 768 divisors, whose sum is σ = 39871306874880. Its totient is φ = 3272489164800.

The previous prime is 12100231211099. The next prime is 12100231211119. The reversal of 12100231211112 is 21111213200121.

It is a happy number.

12100231211112 is a `hidden beast` number, since 1 + 210 + 0 + 231 + 211 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12100231211119) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6345164863 + ... + 6345166769.

It is an arithmetic number, because the mean of its divisors is an integer number (51915764160).

Almost surely, 212100231211112 is an apocalyptic number.

12100231211112 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 12100231211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19935653437440).

12100231211112 is an abundant number, since it is smaller than the sum of its proper divisors (27771075663768).

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

12100231211112 is a wasteful number, since it uses less digits than its factorization.

12100231211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12100231211112 its reverse (21111213200121), we get a palindrome (33211444411233).

The spelling of 12100231211112 in words is "twelve trillion, one hundred billion, two hundred thirty-one million, two hundred eleven thousand, one hundred twelve".