12121411412100 has 72 divisors (see below), whose sum is σ = 35733006066240. Its totient is φ = 3171388138880.

The previous prime is 12121411412083. The next prime is 12121411412119. The reversal of 12121411412100 is 121411412121.

It is a super-2 number, since 2×12121411412100² (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 381160560 + ... + 381192359.

It is an arithmetic number, because the mean of its divisors is an integer number (496291750920).

Almost surely, 2^{12121411412100} is an apocalyptic number.

12121411412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121411412100 is an abundant number, since it is smaller than the sum of its proper divisors (23611594654140).

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

12121411412100 is a wasteful number, since it uses less digits than its factorization.

12121411412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762352989 (or 762352982 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 12121411412100 its sum of digits (21), we get a palindrome (12121411412121).

Adding to 12121411412100 its reverse (121411412121), we get a palindrome (12242822824221).

The spelling of 12121411412100 in words is "twelve trillion, one hundred twenty-one billion, four hundred eleven million, four hundred twelve thousand, one hundred".