120341010134400 has 384 divisors, whose sum is σ = 432496588268160. Its totient is φ = 29167542681600.

The previous prime is 120341010134399. The next prime is 120341010134419. The reversal of 120341010134400 is 4431010143021.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 521231787 + ... + 521462613.

It is an arithmetic number, because the mean of its divisors is an integer number (1126293198615).

Almost surely, 2^{120341010134400} is an apocalyptic number.

120341010134400 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 120341010134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216248294134080).

120341010134400 is an abundant number, since it is smaller than the sum of its proper divisors (312155578133760).

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

120341010134400 is a wasteful number, since it uses less digits than its factorization.

120341010134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235802 (or 235785 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 120341010134400 its reverse (4431010143021), we get a palindrome (124772020277421).

The spelling of 120341010134400 in words is "one hundred twenty trillion, three hundred forty-one billion, ten million, one hundred thirty-four thousand, four hundred".