12100310211258 has 20 divisors (see below), whose sum is σ = 27113658066330. Its totient is φ = 4033436737032.

The previous prime is 12100310211169. The next prime is 12100310211259. The reversal of 12100310211258 is 85211201300121.

12100310211258 is a `hidden beast` number, since 12 + 100 + 310 + 211 + 25 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9629682667929 + 2470627543329 = 3103173^2 + 1571823^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12100310211259) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 37346636293 + ... + 37346636616.

Almost surely, 2^{12100310211258} is an apocalyptic number.

12100310211258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12100310211258 is an abundant number, since it is smaller than the sum of its proper divisors (15013347855072).

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

12100310211258 is an equidigital number, since it uses as much as digits as its factorization.

12100310211258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74693272923 (or 74693272914 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 12100310211258 its reverse (85211201300121), we get a palindrome (97311511511379).

The spelling of 12100310211258 in words is "twelve trillion, one hundred billion, three hundred ten million, two hundred eleven thousand, two hundred fifty-eight".