121221112320 has 480 divisors, whose sum is σ = 523423105920. Its totient is φ = 25188433920.

The previous prime is 121221112303. The next prime is 121221112321. The reversal of 121221112320 is 23211122121.

121221112320 is a `hidden beast` number, since 1 + 212 + 21 + 112 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 121221112293 and 121221112302.

It is not an unprimeable number, because it can be changed into a prime (121221112321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1739916 + ... + 1808244.

It is an arithmetic number, because the mean of its divisors is an integer number (1090464804).

Almost surely, 2^121221112320 is an apocalyptic number.

121221112320 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 121221112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261711552960).

121221112320 is an abundant number, since it is smaller than the sum of its proper divisors (402201993600).

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

121221112320 is a wasteful number, since it uses less digits than its factorization.

121221112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68376 (or 68357 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121221112320 its reverse (23211122121), we get a palindrome (144432234441).

The spelling of 121221112320 in words is "one hundred twenty-one billion, two hundred twenty-one million, one hundred twelve thousand, three hundred twenty".