240145302222120 has 256 divisors, whose sum is σ = 766189045036800. Its totient is φ = 60005341184000.

The previous prime is 240145302222113. The next prime is 240145302222121. The reversal of 240145302222120 is 21222203541042.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (240145302222121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1182198802 + ... + 1182401918.

It is an arithmetic number, because the mean of its divisors is an integer number (2992925957175).

Almost surely, 2^{240145302222120} is an apocalyptic number.

240145302222120 is a gapful number since it is divisible by the number (20) 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 240145302222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383094522518400).

240145302222120 is an abundant number, since it is smaller than the sum of its proper divisors (526043742814680).

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

240145302222120 is a wasteful number, since it uses less digits than its factorization.

240145302222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205708 (or 205704 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 240145302222120 its reverse (21222203541042), we get a palindrome (261367505763162).

The spelling of 240145302222120 in words is "two hundred forty trillion, one hundred forty-five billion, three hundred two million, two hundred twenty-two thousand, one hundred twenty".