121310031031200 has 216 divisors, whose sum is σ = 466657633312416. Its totient is φ = 29408492352000.

The previous prime is 121310031031199. The next prime is 121310031031207. The reversal of 121310031031200 is 2130130013121.

121310031031200 is a `hidden beast` number, since 1 + 21 + 3 + 100 + 310 + 31 + 200 = 666.

It is a super-2 number, since 2×121310031031200² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (121310031031207) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 765766956 + ... + 765925355.

It is an arithmetic number, because the mean of its divisors is an integer number (2160452006076).

Almost surely, 2^{121310031031200} is an apocalyptic number.

121310031031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121310031031200 is an abundant number, since it is smaller than the sum of its proper divisors (345347602281216).

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

121310031031200 is a wasteful number, since it uses less digits than its factorization.

121310031031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531692348 (or 1531692332 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121310031031200 its reverse (2130130013121), we get a palindrome (123440161044321).

The spelling of 121310031031200 in words is "one hundred twenty-one trillion, three hundred ten billion, thirty-one million, thirty-one thousand, two hundred".