121330134012120 has 256 divisors, whose sum is σ = 398911468032000. Its totient is φ = 29277767485440.

The previous prime is 121330134012083. The next prime is 121330134012133. The reversal of 121330134012120 is 21210431033121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2864984706 + ... + 2865027054.

It is an arithmetic number, because the mean of its divisors is an integer number (1558247922000).

Almost surely, 2^{121330134012120} is an apocalyptic number.

121330134012120 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 121330134012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199455734016000).

121330134012120 is an abundant number, since it is smaller than the sum of its proper divisors (277581334019880).

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

121330134012120 is a wasteful number, since it uses less digits than its factorization.

121330134012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52330 (or 52326 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 121330134012120 its reverse (21210431033121), we get a palindrome (142540565045241).

It can be divided in two parts, 1213301 and 34012120, that added together give a triangular number (35225421 = T₈₃₉₃).

The spelling of 121330134012120 in words is "one hundred twenty-one trillion, three hundred thirty billion, one hundred thirty-four million, twelve thousand, one hundred twenty".