120096834 has 128 divisors (see below), whose sum is σ = 304819200. Its totient is φ = 31000320.

The previous prime is 120096829. The next prime is 120096839. The reversal of 120096834 is 438690021.

It is an interprime number because it is at equal distance from previous prime (120096829) and next prime (120096839).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 120096795 and 120096804.

It is not an unprimeable number, because it can be changed into a prime (120096839) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 863937 + ... + 864075.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^120096834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120096834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

120096834 is an abundant number, since it is smaller than the sum of its proper divisors (184722366).

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

120096834 is a wasteful number, since it uses less digits than its factorization.

120096834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 120096834 is about 10958.8701059918. The cubic root of 120096834 is about 493.3750531839.

It can be divided in two parts, 120096 and 834, that multiplied together give a square (100160064 = 10008²).

The spelling of 120096834 in words is "one hundred twenty million, ninety-six thousand, eight hundred thirty-four".