121383144 has 128 divisors (see below), whose sum is σ = 359251200. Its totient is φ = 37889280.

The previous prime is 121383127. The next prime is 121383151. The reversal of 121383144 is 441383121.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

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, 263074 + ... + 263534.

It is an arithmetic number, because the mean of its divisors is an integer number (2806650).

Almost surely, 2^121383144 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 121383144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179625600).

121383144 is an abundant number, since it is smaller than the sum of its proper divisors (237868056).

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

121383144 is a wasteful number, since it uses less digits than its factorization.

121383144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 542 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 121383144 is about 11017.4018715848. The cubic root of 121383144 is about 495.1302503888.

The spelling of 121383144 in words is "one hundred twenty-one million, three hundred eighty-three thousand, one hundred forty-four".