121245303542121 has 96 divisors (see below), whose sum is σ = 197862611506560. Its totient is φ = 71487264562560.

The previous prime is 121245303542101. The next prime is 121245303542141.

121245303542121 is a `hidden beast` number, since 1 + 2 + 12 + 453 + 0 + 35 + 42 + 121 = 666.

121245303542121 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (121245303542101) and next prime (121245303542141).

It is not a de Polignac number, because 121245303542121 - 2¹⁷ = 121245303411049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121245303542101) 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, 6334976770 + ... + 6334995908.

It is an arithmetic number, because the mean of its divisors is an integer number (2061068869860).

Almost surely, 2^{121245303542121} is an apocalyptic number.

121245303542121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121245303542121 is a deficient number, since it is larger than the sum of its proper divisors (76617307964439).

121245303542121 is a wasteful number, since it uses less digits than its factorization.

121245303542121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33508 (or 33483 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 12124530 and 3542121, that added together give a palindrome (15666651).

The spelling of 121245303542121 in words is "one hundred twenty-one trillion, two hundred forty-five billion, three hundred three million, five hundred forty-two thousand, one hundred twenty-one".