120249424281600 has 1200 divisors, whose sum is σ = 448574143881600. Its totient is φ = 31844833689600.

The previous prime is 120249424281577. The next prime is 120249424281611. The reversal of 120249424281600 is 6182424942021.

120249424281600 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 49 + 424 + 28 + 160 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 202781490904 + ... + 202781491496.

It is an arithmetic number, because the mean of its divisors is an integer number (373811786568).

Almost surely, 2^{120249424281600} is an apocalyptic number.

120249424281600 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 120249424281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224287071940800).

120249424281600 is an abundant number, since it is smaller than the sum of its proper divisors (328324719600000).

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

120249424281600 is an frugal number, since it uses more digits than its factorization.

120249424281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 120249424281600 in words is "one hundred twenty trillion, two hundred forty-nine billion, four hundred twenty-four million, two hundred eighty-one thousand, six hundred".