121145302011042 has 56 divisors (see below), whose sum is σ = 274083745856256. Its totient is φ = 40139960266296.

The previous prime is 121145302011037. The next prime is 121145302011077. The reversal of 121145302011042 is 240110203541121.

121145302011042 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 4 + 530 + 20 + 1 + 104 + 2 = 666.

It is a super-3 number, since 3×121145302011042³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 121145302010997 and 121145302011015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 248529138 + ... + 249016109.

It is an arithmetic number, because the mean of its divisors is an integer number (4894352604576).

Almost surely, 2^{121145302011042} is an apocalyptic number.

121145302011042 is an abundant number, since it is smaller than the sum of its proper divisors (152938443845214).

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

121145302011042 is an equidigital number, since it uses as much as digits as its factorization.

121145302011042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497545434 (or 497545419 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 121145302011042 its reverse (240110203541121), we get a palindrome (361255505552163).

The spelling of 121145302011042 in words is "one hundred twenty-one trillion, one hundred forty-five billion, three hundred two million, eleven thousand, forty-two".