121780087121 has 48 divisors (see below), whose sum is σ = 159011905920. Its totient is φ = 91183276800.

The previous prime is 121780087097. The next prime is 121780087127.

121780087121 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-121780087121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121780087127) 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 47 ways as a sum of consecutive naturals, for example, 5171045 + ... + 5194541.

It is an arithmetic number, because the mean of its divisors is an integer number (3312748040).

Almost surely, 2^121780087121 is an apocalyptic number.

121780087121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121780087121 is a deficient number, since it is larger than the sum of its proper divisors (37231818799).

121780087121 is a wasteful number, since it uses less digits than its factorization.

121780087121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23766 (or 23755 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 38.

The spelling of 121780087121 in words is "one hundred twenty-one billion, seven hundred eighty million, eighty-seven thousand, one hundred twenty-one".