122321121300 has 864 divisors, whose sum is σ = 476127025920. Its totient is φ = 26649907200.

The previous prime is 122321121289. The next prime is 122321121317. The reversal of 122321121300 is 3121123221.

122321121300 is a `hidden beast` number, since 1 + 22 + 321 + 1 + 21 + 300 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 675807210 + ... + 675807390.

Almost surely, 2^122321121300 is an apocalyptic number.

122321121300 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 122321121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238063512960).

122321121300 is an abundant number, since it is smaller than the sum of its proper divisors (353805904620).

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

122321121300 is a wasteful number, since it uses less digits than its factorization.

122321121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122321121300 its reverse (3121123221), we get a palindrome (125442244521).

The spelling of 122321121300 in words is "one hundred twenty-two billion, three hundred twenty-one million, one hundred twenty-one thousand, three hundred".