121311314200 has 144 divisors (see below), whose sum is σ = 294065553600. Its totient is φ = 46493126400.

The previous prime is 121311314191. The next prime is 121311314297. The reversal of 121311314200 is 2413113121.

It is a super-4 number, since 4×121311314200⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70982946 + ... + 70984654.

It is an arithmetic number, because the mean of its divisors is an integer number (2042121900).

Almost surely, 2^121311314200 is an apocalyptic number.

121311314200 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 121311314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147032776800).

121311314200 is an abundant number, since it is smaller than the sum of its proper divisors (172754239400).

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

121311314200 is a wasteful number, since it uses less digits than its factorization.

121311314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 121311314200 its reverse (2413113121), we get a palindrome (123724427321).

The spelling of 121311314200 in words is "one hundred twenty-one billion, three hundred eleven million, three hundred fourteen thousand, two hundred".