120005826410800 has 480 divisors, whose sum is σ = 326833703804160. Its totient is φ = 41944573440000.

The previous prime is 120005826410791. The next prime is 120005826410809. The reversal of 120005826410800 is 8014628500021.

It is an interprime number because it is at equal distance from previous prime (120005826410791) and next prime (120005826410809).

It is a self number, because there is not a number n which added to its sum of digits gives 120005826410800.

It is not an unprimeable number, because it can be changed into a prime (120005826410809) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36026965135 + ... + 36026968465.

It is an arithmetic number, because the mean of its divisors is an integer number (680903549592).

Almost surely, 2^{120005826410800} is an apocalyptic number.

120005826410800 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 120005826410800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163416851902080).

120005826410800 is an abundant number, since it is smaller than the sum of its proper divisors (206827877393360).

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

120005826410800 is a wasteful number, since it uses less digits than its factorization.

120005826410800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 120005826410800 in words is "one hundred twenty trillion, five billion, eight hundred twenty-six million, four hundred ten thousand, eight hundred".