121331222144 has 64 divisors (see below), whose sum is σ = 275153388480. Its totient is φ = 52752691200.

The previous prime is 121331222137. The next prime is 121331222149. The reversal of 121331222144 is 441222133121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×121331222144⁴ (a number of 45 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (121331222149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1840937 + ... + 1905704.

It is an arithmetic number, because the mean of its divisors is an integer number (4299271695).

Almost surely, 2^121331222144 is an apocalyptic number.

It is an amenable number.

121331222144 is an abundant number, since it is smaller than the sum of its proper divisors (153822166336).

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

121331222144 is a wasteful number, since it uses less digits than its factorization.

121331222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746689 (or 3746677 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

Adding to 121331222144 its reverse (441222133121), we get a palindrome (562553355265).

The spelling of 121331222144 in words is "one hundred twenty-one billion, three hundred thirty-one million, two hundred twenty-two thousand, one hundred forty-four".