121446644121 has 96 divisors (see below), whose sum is σ = 199197872640. Its totient is φ = 70652736000.

The previous prime is 121446644117. The next prime is 121446644159.

121446644121 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 4 + 6 + 644 + 1 + 2 + 1 = 666.

121446644121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121446644121 - 2² = 121446644117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121446644021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171292515 + ... + 171293223.

It is an arithmetic number, because the mean of its divisors is an integer number (2074977840).

Almost surely, 2^121446644121 is an apocalyptic number.

121446644121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121446644121 is a deficient number, since it is larger than the sum of its proper divisors (77751228519).

121446644121 is a wasteful number, since it uses less digits than its factorization.

121446644121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1324 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

It can be divided in two parts, 121446 and 644121, that added together give a palindrome (765567).

The spelling of 121446644121 in words is "one hundred twenty-one billion, four hundred forty-six million, six hundred forty-four thousand, one hundred twenty-one".