121516106656 has 36 divisors (see below), whose sum is σ = 278293587138. Its totient is φ = 52078330752.

The previous prime is 121516106653. The next prime is 121516106707. The reversal of 121516106656 is 656601615121.

It can be written as a sum of positive squares in only one way, i.e., 112952455056 + 8563651600 = 336084^2 + 92540^2 .

It is not an unprimeable number, because it can be changed into a prime (121516106653) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 38747191 + ... + 38750326.

Almost surely, 2^121516106656 is an apocalyptic number.

121516106656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121516106656 is an abundant number, since it is smaller than the sum of its proper divisors (156777480482).

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

121516106656 is an equidigital number, since it uses as much as digits as its factorization.

121516106656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77497541 (or 77497526 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 121516106656 in words is "one hundred twenty-one billion, five hundred sixteen million, one hundred six thousand, six hundred fifty-six".