120441948900 has 288 divisors, whose sum is σ = 429305856000. Its totient is φ = 25387706880.

The previous prime is 120441948871. The next prime is 120441948931. The reversal of 120441948900 is 9849144021.

It is a happy number.

It is a super-2 number, since 2×120441948900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54571597 + ... + 54573803.

Almost surely, 2^120441948900 is an apocalyptic number.

120441948900 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 120441948900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214652928000).

120441948900 is an abundant number, since it is smaller than the sum of its proper divisors (308863907100).

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

120441948900 is a wasteful number, since it uses less digits than its factorization.

120441948900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4243 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 120441948900 in words is "one hundred twenty billion, four hundred forty-one million, nine hundred forty-eight thousand, nine hundred".