120249303494400 has 1512 divisors, whose sum is σ = 457560629245440. Its totient is φ = 31263969116160.

The previous prime is 120249303494357. The next prime is 120249303494443. The reversal of 120249303494400 is 4494303942021.

120249303494400 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 493 + 0 + 34 + 94 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120249303494357) and next prime (120249303494443).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 30312401217 + ... + 30312405183.

Almost surely, 2^{120249303494400} is an apocalyptic number.

120249303494400 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 120249303494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228780314622720).

120249303494400 is an abundant number, since it is smaller than the sum of its proper divisors (337311325751040).

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

120249303494400 is an frugal number, since it uses more digits than its factorization.

120249303494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 120249303494400 in words is "one hundred twenty trillion, two hundred forty-nine billion, three hundred three million, four hundred ninety-four thousand, four hundred".