1020301200 has 270 divisors, whose sum is σ = 3677914214. Its totient is φ = 261918720.

The previous prime is 1020301199. The next prime is 1020301201. The reversal of 1020301200 is 21030201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1020301199) and next prime (1020301201).

It can be written as a sum of positive squares in 9 ways, for example, as 354041856 + 666259344 = 18816^2 + 25812^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1020301201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3027432 + ... + 3027768.

Almost surely, 2^1020301200 is an apocalyptic number.

1020301200 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 1020301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838957107).

1020301200 is an abundant number, since it is smaller than the sum of its proper divisors (2657613014).

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

1020301200 is a wasteful number, since it uses less digits than its factorization.

1020301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 376 counting only the distinct ones).

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

The square root of 1020301200 is about 31942.1539661933. The cubic root of 1020301200 is about 1006.7217830638.

Adding to 1020301200 its reverse (21030201), we get a palindrome (1041331401).

The spelling of 1020301200 in words is "one billion, twenty million, three hundred one thousand, two hundred".