121144760 has 128 divisors (see below), whose sum is σ = 321235200. Its totient is φ = 40642560.

The previous prime is 121144693. The next prime is 121144781. The reversal of 121144760 is 67441121.

It is a super-3 number, since 3×121144760³ (a number of 25 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 359312 + ... + 359648.

It is an arithmetic number, because the mean of its divisors is an integer number (2509650).

Almost surely, 2^121144760 is an apocalyptic number.

121144760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121144760 is the 8987-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121144760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160617600).

121144760 is an abundant number, since it is smaller than the sum of its proper divisors (200090440).

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

121144760 is a wasteful number, since it uses less digits than its factorization.

121144760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 121144760 is about 11006.5780331582. The cubic root of 121144760 is about 494.8059096906.

Adding to 121144760 its reverse (67441121), we get a palindrome (188585881).

The spelling of 121144760 in words is "one hundred twenty-one million, one hundred forty-four thousand, seven hundred sixty".