120420410134004 has 12 divisors (see below), whose sum is σ = 214190401632228. Its totient is φ = 59223152524800.

The previous prime is 120420410133983. The next prime is 120420410134009. The reversal of 120420410134004 is 400431014024021.

120420410134004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 29834558258404 + 90585851875600 = 5462102^2 + 9517660^2 .

It is a super-2 number, since 2×120420410134004² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120420410134009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 246763135277 + ... + 246763135764.

It is an arithmetic number, because the mean of its divisors is an integer number (17849200136019).

Almost surely, 2^{120420410134004} is an apocalyptic number.

It is an amenable number.

120420410134004 is a deficient number, since it is larger than the sum of its proper divisors (93769991498224).

120420410134004 is a wasteful number, since it uses less digits than its factorization.

120420410134004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493526271106 (or 493526271104 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 120420410134004 its reverse (400431014024021), we get a palindrome (520851424158025).

The spelling of 120420410134004 in words is "one hundred twenty trillion, four hundred twenty billion, four hundred ten million, one hundred thirty-four thousand, four".