121320311200 has 216 divisors, whose sum is σ = 328795479180. Its totient is φ = 43676160000.

The previous prime is 121320311159. The next prime is 121320311201. The reversal of 121320311200 is 2113023121.

121320311200 = T₄₄₇₂₀ + T₄₄₇₂₁ + ... + T₄₄₈₄₀.

It can be written as a sum of positive squares in 6 ways, for example, as 41699273616 + 79621037584 = 204204^2 + 282172^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (121320311201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9770596 + ... + 9783004.

Almost surely, 2^121320311200 is an apocalyptic number.

121320311200 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 121320311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164397739590).

121320311200 is an abundant number, since it is smaller than the sum of its proper divisors (207475167980).

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

121320311200 is a wasteful number, since it uses less digits than its factorization.

121320311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12552 (or 12528 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121320311200 its reverse (2113023121), we get a palindrome (123433334321).

The spelling of 121320311200 in words is "one hundred twenty-one billion, three hundred twenty million, three hundred eleven thousand, two hundred".