121414114350 has 192 divisors, whose sum is σ = 344317337280. Its totient is φ = 31436812800.

The previous prime is 121414114333. The next prime is 121414114369. The reversal of 121414114350 is 53411414121.

It is a happy number.

121414114350 is a `hidden beast` number, since 1 + 214 + 1 + 4 + 11 + 435 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 27020704 + ... + 27025196.

It is an arithmetic number, because the mean of its divisors is an integer number (1793319465).

Almost surely, 2^121414114350 is an apocalyptic number.

121414114350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121414114350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172158668640).

121414114350 is an abundant number, since it is smaller than the sum of its proper divisors (222903222930).

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

121414114350 is a wasteful number, since it uses less digits than its factorization.

121414114350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5092 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 121414114350 its reverse (53411414121), we get a palindrome (174825528471).

The spelling of 121414114350 in words is "one hundred twenty-one billion, four hundred fourteen million, one hundred fourteen thousand, three hundred fifty".