121210314120 has 384 divisors, whose sum is σ = 463993920000. Its totient is φ = 27428083200.

The previous prime is 121210314119. The next prime is 121210314139. The reversal of 121210314120 is 21413012121.

121210314120 is a `hidden beast` number, since 1 + 21 + 210 + 314 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121210314093 and 121210314102.

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 95 ways as a sum of consecutive naturals, for example, 12466621 + ... + 12476339.

It is an arithmetic number, because the mean of its divisors is an integer number (1208317500).

Almost surely, 2^121210314120 is an apocalyptic number.

121210314120 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 121210314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231996960000).

121210314120 is an abundant number, since it is smaller than the sum of its proper divisors (342783605880).

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

121210314120 is a wasteful number, since it uses less digits than its factorization.

121210314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9858 (or 9837 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121210314120 its reverse (21413012121), we get a palindrome (142623326241).

The spelling of 121210314120 in words is "one hundred twenty-one billion, two hundred ten million, three hundred fourteen thousand, one hundred twenty".