121777344 has 210 divisors, whose sum is σ = 393702540. Its totient is φ = 37200384.

The previous prime is 121777297. The next prime is 121777349. The reversal of 121777344 is 443777121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121777299 and 121777308.

It is not an unprimeable number, because it can be changed into a prime (121777349) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 876027 + ... + 876165.

It is an arithmetic number, because the mean of its divisors is an integer number (1874774).

Almost surely, 2^121777344 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 121777344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196851270).

121777344 is an abundant number, since it is smaller than the sum of its proper divisors (271925196).

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

121777344 is a wasteful number, since it uses less digits than its factorization.

121777344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 157 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 121777344 is about 11035.2772507083. The cubic root of 121777344 is about 495.6656609121.

The spelling of 121777344 in words is "one hundred twenty-one million, seven hundred seventy-seven thousand, three hundred forty-four".