121305655300060 has 384 divisors, whose sum is σ = 325342432880640. Its totient is φ = 37209724231680.

The previous prime is 121305655300013. The next prime is 121305655300121. The reversal of 121305655300060 is 60003556503121.

It is a junction number, because it is equal to n+sod(n) for n = 121305655299992 and 121305655300019.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3235402674 + ... + 3235440166.

It is an arithmetic number, because the mean of its divisors is an integer number (847245918960).

Almost surely, 2^{121305655300060} is an apocalyptic number.

121305655300060 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 121305655300060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162671216440320).

121305655300060 is an abundant number, since it is smaller than the sum of its proper divisors (204036777580580).

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

121305655300060 is a wasteful number, since it uses less digits than its factorization.

121305655300060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37818 (or 37794 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 37.

It can be divided in two parts, 12130565 and 5300060, that added together give a square (17430625 = 4175²).

The spelling of 121305655300060 in words is "one hundred twenty-one trillion, three hundred five billion, six hundred fifty-five million, three hundred thousand, sixty".