121023330313200 has 480 divisors, whose sum is σ = 458823823491072. Its totient is φ = 26684042112000.

The previous prime is 121023330313187. The next prime is 121023330313201. The reversal of 121023330313200 is 2313033320121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121023330313201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80237199 + ... + 81731601.

Almost surely, 2^{121023330313200} is an apocalyptic number.

121023330313200 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 121023330313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229411911745536).

121023330313200 is an abundant number, since it is smaller than the sum of its proper divisors (337800493177872).

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

121023330313200 is a wasteful number, since it uses less digits than its factorization.

121023330313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494773 (or 1494762 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 121023330313200 its reverse (2313033320121), we get a palindrome (123336363633321).

The spelling of 121023330313200 in words is "one hundred twenty-one trillion, twenty-three billion, three hundred thirty million, three hundred thirteen thousand, two hundred".