20301120 has 336 divisors, whose sum is σ = 85587840. Its totient is φ = 4313088.

The previous prime is 20301119. The next prime is 20301121. The reversal of 20301120 is 2110302.

20301120 = 134² + 135² + ... + 398².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20301119) and next prime (20301121).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301121) 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, 383014 + ... + 383066.

Almost surely, 2^20301120 is an apocalyptic number.

20301120 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 20301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42793920).

20301120 is an abundant number, since it is smaller than the sum of its proper divisors (65286720).

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

20301120 is a wasteful number, since it uses less digits than its factorization.

20301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 20301120 is about 4505.6764198065. The cubic root of 20301120 is about 272.7972571913.

Adding to 20301120 its reverse (2110302), we get a palindrome (22411422).

The spelling of 20301120 in words is "twenty million, three hundred one thousand, one hundred twenty".