12121144220400 has 120 divisors (see below), whose sum is σ = 38831502481920. Its totient is φ = 3232018993920.

The previous prime is 12121144220371. The next prime is 12121144220441. The reversal of 12121144220400 is 402244112121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13290241 + ... + 14172959.

It is an arithmetic number, because the mean of its divisors is an integer number (323595854016).

Almost surely, 2^{12121144220400} is an apocalyptic number.

12121144220400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121144220400 is an abundant number, since it is smaller than the sum of its proper divisors (26710358261520).

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

12121144220400 is a wasteful number, since it uses less digits than its factorization.

12121144220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894183 (or 894172 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12121144220400 its reverse (402244112121), we get a palindrome (12523388332521).

The spelling of 12121144220400 in words is "twelve trillion, one hundred twenty-one billion, one hundred forty-four million, two hundred twenty thousand, four hundred".