120309821548800 has 1296 divisors, whose sum is σ = 456758392341888. Its totient is φ = 27779098214400.

The previous prime is 120309821548769. The next prime is 120309821548801. The reversal of 120309821548800 is 8845128903021.

It is a super-2 number, since 2×120309821548800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (120309821548801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17155254094 + ... + 17155261106.

It is an arithmetic number, because the mean of its divisors is an integer number (352437031128).

Almost surely, 2^{120309821548800} is an apocalyptic number.

120309821548800 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 120309821548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228379196170944).

120309821548800 is an abundant number, since it is smaller than the sum of its proper divisors (336448570793088).

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

120309821548800 is a wasteful number, since it uses less digits than its factorization.

120309821548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7396 (or 7364 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 120309821548800 in words is "one hundred twenty trillion, three hundred nine billion, eight hundred twenty-one million, five hundred forty-eight thousand, eight hundred".