120000835584000 has 2048 divisors, whose sum is σ = 509700821760000. Its totient is φ = 27289504972800.

The previous prime is 120000835583999. The next prime is 120000835584013. The reversal of 120000835584000 is 485538000021.

It is a happy number.

120000835584000 is a `hidden beast` number, since 1 + 20 + 0 + 0 + 0 + 83 + 558 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-3 number, since 3×120000835584000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 293400575796 + ... + 293400576204.

It is an arithmetic number, because the mean of its divisors is an integer number (248877354375).

Almost surely, 2^{120000835584000} is an apocalyptic number.

120000835584000 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 120000835584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254850410880000).

120000835584000 is an abundant number, since it is smaller than the sum of its proper divisors (389699986176000).

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

120000835584000 is an frugal number, since it uses more digits than its factorization.

120000835584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 120000835584000 in words is "one hundred twenty trillion, eight hundred thirty-five million, five hundred eighty-four thousand".