120145300000 has 288 divisors, whose sum is σ = 324586725120. Its totient is φ = 43411200000.

The previous prime is 120145299983. The next prime is 120145300001. The reversal of 120145300000 is 3541021.

It is a super-2 number, since 2×120145300000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (120145300001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262899772 + ... + 262900228.

It is an arithmetic number, because the mean of its divisors is an integer number (1127037240).

Almost surely, 2^120145300000 is an apocalyptic number.

120145300000 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 120145300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162293362560).

120145300000 is an abundant number, since it is smaller than the sum of its proper divisors (204441425120).

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

120145300000 is an equidigital number, since it uses as much as digits as its factorization.

120145300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 120145300000 its reverse (3541021), we get a palindrome (120148841021).

The spelling of 120145300000 in words is "one hundred twenty billion, one hundred forty-five million, three hundred thousand".