121202122320 has 240 divisors, whose sum is σ = 420968770560. Its totient is φ = 31231789056.

The previous prime is 121202122291. The next prime is 121202122331. The reversal of 121202122320 is 23221202121.

121202122320 is a `hidden beast` number, since 1 + 21 + 202 + 122 + 320 = 666.

121202122320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 121202122293 and 121202122302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2650692 + ... + 2696028.

It is an arithmetic number, because the mean of its divisors is an integer number (1754036544).

Almost surely, 2^121202122320 is an apocalyptic number.

121202122320 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 121202122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210484385280).

121202122320 is an abundant number, since it is smaller than the sum of its proper divisors (299766648240).

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

121202122320 is a wasteful number, since it uses less digits than its factorization.

121202122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45482 (or 45473 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 121202122320 its reverse (23221202121), we get a palindrome (144423324441).

The spelling of 121202122320 in words is "one hundred twenty-one billion, two hundred two million, one hundred twenty-two thousand, three hundred twenty".