64121122112146 has 96 divisors (see below), whose sum is σ = 108815092412544. Its totient is φ = 28304472768000.

The previous prime is 64121122112123. The next prime is 64121122112197.

64121122112146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×64121122112146² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1648211331 + ... + 1648250233.

It is an arithmetic number, because the mean of its divisors is an integer number (1133490545964).

Almost surely, 2^{64121122112146} is an apocalyptic number.

64121122112146 is a deficient number, since it is larger than the sum of its proper divisors (44693970300398).

64121122112146 is a wasteful number, since it uses less digits than its factorization.

64121122112146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40288 (or 40277 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

It can be divided in two parts, 6412112 and 2112146, that added together give a palindrome (8524258).

The spelling of 64121122112146 in words is "sixty-four trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred forty-six".