121413634560 has 400 divisors, whose sum is σ = 445502939112. Its totient is φ = 31585075200.

The previous prime is 121413634547. The next prime is 121413634597. The reversal of 121413634560 is 65436314121.

121413634560 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 13 + 634 + 5 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21870860544 + 99542774016 = 147888^2 + 315504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8494620 + ... + 8508900.

Almost surely, 2^121413634560 is an apocalyptic number.

121413634560 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 121413634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222751469556).

121413634560 is an abundant number, since it is smaller than the sum of its proper divisors (324089304552).

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

121413634560 is an equidigital number, since it uses as much as digits as its factorization.

121413634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14357 (or 14332 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 121413634560 its reverse (65436314121), we get a palindrome (186849948681).

The spelling of 121413634560 in words is "one hundred twenty-one billion, four hundred thirteen million, six hundred thirty-four thousand, five hundred sixty".