120413230000434 has 192 divisors, whose sum is σ = 299639712153600. Its totient is φ = 34234281607680.

The previous prime is 120413230000429. The next prime is 120413230000451. The reversal of 120413230000434 is 434000032314021.

120413230000434 is a `hidden beast` number, since 1 + 204 + 1 + 3 + 23 + 0 + 0 + 0 + 0 + 434 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120413230000398 and 120413230000407.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70873000917 + ... + 70873002615.

It is an arithmetic number, because the mean of its divisors is an integer number (1560623500800).

Almost surely, 2^{120413230000434} is an apocalyptic number.

120413230000434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

120413230000434 is an abundant number, since it is smaller than the sum of its proper divisors (179226482153166).

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

120413230000434 is a wasteful number, since it uses less digits than its factorization.

120413230000434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 120413230000434 its reverse (434000032314021), we get a palindrome (554413262314455).

The spelling of 120413230000434 in words is "one hundred twenty trillion, four hundred thirteen billion, two hundred thirty million, four hundred thirty-four", and thus it is an aban number.