121211627503616 has 224 divisors, whose sum is σ = 263607911777280. Its totient is φ = 55401856892928.

The previous prime is 121211627503609. The next prime is 121211627503649. The reversal of 121211627503616 is 616305726112121.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 221593468655 + ... + 221593469201.

It is an arithmetic number, because the mean of its divisors is an integer number (1176821034720).

Almost surely, 2^{121211627503616} is an apocalyptic number.

121211627503616 is a gapful number since it is divisible by the number (16) 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 121211627503616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131803955888640).

121211627503616 is an abundant number, since it is smaller than the sum of its proper divisors (142396284273664).

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

121211627503616 is an frugal number, since it uses more digits than its factorization.

121211627503616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 121211627503616 in words is "one hundred twenty-one trillion, two hundred eleven billion, six hundred twenty-seven million, five hundred three thousand, six hundred sixteen".