121419072 has 84 divisors (see below), whose sum is σ = 349741236. Its totient is φ = 40273920.

The previous prime is 121419061. The next prime is 121419079. The reversal of 121419072 is 270914121.

It can be written as a sum of positive squares in 2 ways, for example, as 6843456 + 114575616 = 2616^2 + 10704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121419079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159172 + ... + 159932.

Almost surely, 2^121419072 is an apocalyptic number.

121419072 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 121419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174870618).

121419072 is an abundant number, since it is smaller than the sum of its proper divisors (228322164).

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

121419072 is a wasteful number, since it uses less digits than its factorization.

121419072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 121419072 is about 11019.0322624085. The cubic root of 121419072 is about 495.1790965031.

The spelling of 121419072 in words is "one hundred twenty-one million, four hundred nineteen thousand, seventy-two".