121064022144 has 128 divisors (see below), whose sum is σ = 384792307200. Its totient is φ = 37250454528.

The previous prime is 121064022127. The next prime is 121064022187. The reversal of 121064022144 is 441220460121.

121064022144 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 640 + 2 + 2 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1302384 + ... + 1392239.

It is an arithmetic number, because the mean of its divisors is an integer number (3006189900).

Almost surely, 2^121064022144 is an apocalyptic number.

It is an amenable number.

121064022144 is an abundant number, since it is smaller than the sum of its proper divisors (263728285056).

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

121064022144 is a wasteful number, since it uses less digits than its factorization.

121064022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694659 (or 2694641 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 121064022144 its reverse (441220460121), we get a palindrome (562284482265).

The spelling of 121064022144 in words is "one hundred twenty-one billion, sixty-four million, twenty-two thousand, one hundred forty-four".