1281201300 has 180 divisors, whose sum is σ = 4222860796. Its totient is φ = 335923200.

The previous prime is 1281201289. The next prime is 1281201307. The reversal of 1281201300 is 31021821.

It can be written as a sum of positive squares in 6 ways, for example, as 186650244 + 1094551056 = 13662^2 + 33084^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1281201300² = 3282953542243380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1281201307) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 492804 + ... + 495396.

Almost surely, 2^1281201300 is an apocalyptic number.

1281201300 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 1281201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111430398).

1281201300 is an abundant number, since it is smaller than the sum of its proper divisors (2941659496).

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

1281201300 is a wasteful number, since it uses less digits than its factorization.

1281201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1281201300 is about 35793.8723806184. The cubic root of 1281201300 is about 1086.1066102110.

The spelling of 1281201300 in words is "one billion, two hundred eighty-one million, two hundred one thousand, three hundred".