121275144 has 160 divisors (see below), whose sum is σ = 366557400. Its totient is φ = 37324800.

The previous prime is 121275109. The next prime is 121275151. The reversal of 121275144 is 441572121.

121275144 is a `hidden beast` number, since 121 + 27 + 514 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118592100 + 2683044 = 10890^2 + 1638^2 .

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1112562 + ... + 1112670.

Almost surely, 2^121275144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121275144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183278700).

121275144 is an abundant number, since it is smaller than the sum of its proper divisors (245282256).

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

121275144 is a wasteful number, since it uses less digits than its factorization.

121275144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 121275144 is about 11012.4994438138. The cubic root of 121275144 is about 494.9833603222.

It can be divided in two parts, 12127 and 5144, that added together give a palindrome (17271).

The spelling of 121275144 in words is "one hundred twenty-one million, two hundred seventy-five thousand, one hundred forty-four".