120617290000 has 225 divisors, whose sum is σ = 307310440899. Its totient is φ = 45843600000.

The previous prime is 120617289979. The next prime is 120617290039. The reversal of 120617290000 is 92716021.

It is a happy number.

The square root of 120617290000 is 347300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 9456395536 + 111160894464 = 97244^2 + 333408^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 798789925 + ... + 798790075.

Almost surely, 2^120617290000 is an apocalyptic number.

120617290000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120617290000 is the 347300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120617290000

120617290000 is an abundant number, since it is smaller than the sum of its proper divisors (186693150899).

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

120617290000 is an frugal number, since it uses more digits than its factorization.

120617290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 120617290000 in words is "one hundred twenty billion, six hundred seventeen million, two hundred ninety thousand".