240153220120 has 128 divisors (see below), whose sum is σ = 600618862080. Its totient is φ = 85688064000.

The previous prime is 240153220103. The next prime is 240153220129. The reversal of 240153220120 is 21022351042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 240153220091 and 240153220100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240153220129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6573424 + ... + 6609856.

It is an arithmetic number, because the mean of its divisors is an integer number (4692334860).

Almost surely, 2^240153220120 is an apocalyptic number.

240153220120 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 240153220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300309431040).

240153220120 is an abundant number, since it is smaller than the sum of its proper divisors (360465641960).

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

240153220120 is a wasteful number, since it uses less digits than its factorization.

240153220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36737 (or 36733 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 240153220120 its reverse (21022351042), we get a palindrome (261175571162).

The spelling of 240153220120 in words is "two hundred forty billion, one hundred fifty-three million, two hundred twenty thousand, one hundred twenty".