121116514302256 has 160 divisors (see below), whose sum is σ = 267488272512000. Its totient is φ = 52620468848640.

The previous prime is 121116514302241. The next prime is 121116514302269. The reversal of 121116514302256 is 652203415611121.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777062220 + ... + 777218068.

It is an arithmetic number, because the mean of its divisors is an integer number (1671801703200).

Almost surely, 2^{121116514302256} is an apocalyptic number.

121116514302256 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 121116514302256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133744136256000).

121116514302256 is an abundant number, since it is smaller than the sum of its proper divisors (146371758209744).

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

121116514302256 is a wasteful number, since it uses less digits than its factorization.

121116514302256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157427 (or 157421 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

Adding to 121116514302256 its reverse (652203415611121), we get a palindrome (773319929913377).

The spelling of 121116514302256 in words is "one hundred twenty-one trillion, one hundred sixteen billion, five hundred fourteen million, three hundred two thousand, two hundred fifty-six".