202240340120 has 384 divisors, whose sum is σ = 588519509760. Its totient is φ = 61962485760.

The previous prime is 202240340101. The next prime is 202240340123. The reversal of 202240340120 is 21043042202.

202240340120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×202240340120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202240340092 and 202240340101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202240340123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116162450 + ... + 116164190.

It is an arithmetic number, because the mean of its divisors is an integer number (1532602890).

Almost surely, 2^202240340120 is an apocalyptic number.

202240340120 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 202240340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294259754880).

202240340120 is an abundant number, since it is smaller than the sum of its proper divisors (386279169640).

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

202240340120 is a wasteful number, since it uses less digits than its factorization.

202240340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 202240340120 its reverse (21043042202), we get a palindrome (223283382322).

The spelling of 202240340120 in words is "two hundred two billion, two hundred forty million, three hundred forty thousand, one hundred twenty".