121413350520 has 1152 divisors, whose sum is σ = 527055379200. Its totient is φ = 24764382720.

The previous prime is 121413350507. The next prime is 121413350543. The reversal of 121413350520 is 25053314121.

121413350520 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 133 + 5 + 0 + 520 = 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 287 ways as a sum of consecutive naturals, for example, 429022299 + ... + 429022581.

It is an arithmetic number, because the mean of its divisors is an integer number (457513350).

Almost surely, 2^121413350520 is an apocalyptic number.

121413350520 is a gapful number since it is divisible by the number (10) 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 121413350520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263527689600).

121413350520 is an abundant number, since it is smaller than the sum of its proper divisors (405642028680).

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

121413350520 is a wasteful number, since it uses less digits than its factorization.

121413350520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 121413350520 its reverse (25053314121), we get a palindrome (146466664641).

The spelling of 121413350520 in words is "one hundred twenty-one billion, four hundred thirteen million, three hundred fifty thousand, five hundred twenty".