121142144 has 32 divisors (see below), whose sum is σ = 247870200. Its totient is φ = 58931712.

The previous prime is 121142129. The next prime is 121142159. The reversal of 121142144 is 441241121.

It is an interprime number because it is at equal distance from previous prime (121142129) and next prime (121142159).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×121142144³ (a number of 25 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8054 + ... + 17525.

Almost surely, 2^121142144 is an apocalyptic number.

It is an amenable number.

121142144 is an abundant number, since it is smaller than the sum of its proper divisors (126728056).

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

121142144 is an equidigital number, since it uses as much as digits as its factorization.

121142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25630 (or 25618 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 121142144 is about 11006.4591944912. The cubic root of 121142144 is about 494.8023480519.

Adding to 121142144 its reverse (441241121), we get a palindrome (562383265).

The spelling of 121142144 in words is "one hundred twenty-one million, one hundred forty-two thousand, one hundred forty-four".