121224142100 has 36 divisors (see below), whose sum is σ = 263761714524. Its totient is φ = 48359642880.

The previous prime is 121224142087. The next prime is 121224142153. The reversal of 121224142100 is 1241422121.

It can be written as a sum of positive squares in 6 ways, for example, as 2382611344 + 118841530756 = 48812^2 + 344734^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1587689 + ... + 1662288.

Almost surely, 2^121224142100 is an apocalyptic number.

121224142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121224142100 is an abundant number, since it is smaller than the sum of its proper divisors (142537572424).

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

121224142100 is a wasteful number, since it uses less digits than its factorization.

121224142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250364 (or 3250357 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 121224142100 its reverse (1241422121), we get a palindrome (122465564221).

The spelling of 121224142100 in words is "one hundred twenty-one billion, two hundred twenty-four million, one hundred forty-two thousand, one hundred".