121310041200 has 240 divisors, whose sum is σ = 396089696256. Its totient is φ = 31728614400.

The previous prime is 121310041189. The next prime is 121310041211. The reversal of 121310041200 is 2140013121.

121310041200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121310041189) and next prime (121310041211).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×121310041200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121310041200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28033437 + ... + 28037763.

Almost surely, 2^121310041200 is an apocalyptic number.

121310041200 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 121310041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198044848128).

121310041200 is an abundant number, since it is smaller than the sum of its proper divisors (274779655056).

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

121310041200 is a wasteful number, since it uses less digits than its factorization.

121310041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 121310041200 its reverse (2140013121), we get a palindrome (123450054321).

The spelling of 121310041200 in words is "one hundred twenty-one billion, three hundred ten million, forty-one thousand, two hundred".