121123333214240 has 384 divisors, whose sum is σ = 353159527633920. Its totient is φ = 38337443020800.

The previous prime is 121123333214239. The next prime is 121123333214249. The reversal of 121123333214240 is 42412333321121.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 121123333214197 and 121123333214206.

It is not an unprimeable number, because it can be changed into a prime (121123333214249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1957960910 + ... + 1958022770.

It is an arithmetic number, because the mean of its divisors is an integer number (919686269880).

Almost surely, 2^{121123333214240} is an apocalyptic number.

121123333214240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121123333214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176579763816960).

121123333214240 is an abundant number, since it is smaller than the sum of its proper divisors (232036194419680).

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

121123333214240 is a wasteful number, since it uses less digits than its factorization.

121123333214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64556 (or 64548 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 121123333214240 its reverse (42412333321121), we get a palindrome (163535666535361).

The spelling of 121123333214240 in words is "one hundred twenty-one trillion, one hundred twenty-three billion, three hundred thirty-three million, two hundred fourteen thousand, two hundred forty".