121014144 has 96 divisors (see below), whose sum is σ = 353246400. Its totient is φ = 39757824.

The previous prime is 121014137. The next prime is 121014163. The reversal of 121014144 is 441410121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83377 + ... + 84815.

It is an arithmetic number, because the mean of its divisors is an integer number (3679650).

Almost surely, 2^121014144 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 121014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176623200).

121014144 is an abundant number, since it is smaller than the sum of its proper divisors (232232256).

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

121014144 is a wasteful number, since it uses less digits than its factorization.

121014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 121014144 is about 11000.6428903042. The cubic root of 121014144 is about 494.6280156018.

Adding to 121014144 its reverse (441410121), we get a palindrome (562424265).

The spelling of 121014144 in words is "one hundred twenty-one million, fourteen thousand, one hundred forty-four".