120961600 has 168 divisors, whose sum is σ = 328818240. Its totient is φ = 43591680.

The previous prime is 120961559. The next prime is 120961609. The reversal of 120961600 is 6169021.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (120961609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699114 + ... + 699286.

Almost surely, 2^120961600 is an apocalyptic number.

120961600 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 120961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164409120).

120961600 is an abundant number, since it is smaller than the sum of its proper divisors (207856640).

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

120961600 is a wasteful number, since it uses less digits than its factorization.

120961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 120961600 is about 10998.2544069502. The cubic root of 120961600 is about 494.5564165416.

The spelling of 120961600 in words is "one hundred twenty million, nine hundred sixty-one thousand, six hundred".