121322130220200 has 768 divisors, whose sum is σ = 466530140160000. Its totient is φ = 25397022228480.

The previous prime is 121322130220183. The next prime is 121322130220211. The reversal of 121322130220200 is 2022031223121.

It is a super-2 number, since 2×121322130220200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4388242777 + ... + 4388270423.

It is an arithmetic number, because the mean of its divisors is an integer number (607461120000).

Almost surely, 2^{121322130220200} is an apocalyptic number.

121322130220200 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 121322130220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233265070080000).

121322130220200 is an abundant number, since it is smaller than the sum of its proper divisors (345208009939800).

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

121322130220200 is a wasteful number, since it uses less digits than its factorization.

121322130220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28314 (or 28305 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 121322130220200 its reverse (2022031223121), we get a palindrome (123344161443321).

The spelling of 121322130220200 in words is "one hundred twenty-one trillion, three hundred twenty-two billion, one hundred thirty million, two hundred twenty thousand, two hundred".