1201300000000 has 324 divisors, whose sum is σ = 3080969125668. Its totient is φ = 467200000000.

The previous prime is 1201299999961. The next prime is 1201300000037. The reversal of 1201300000000 is 31021.

It can be written as a sum of positive squares in 18 ways, for example, as 52870564096 + 1148429435904 = 229936^2 + 1071648^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4099999854 + ... + 4100000146.

Almost surely, 2^{1201300000000} is an apocalyptic number.

1201300000000 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 1201300000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540484562834).

1201300000000 is an abundant number, since it is smaller than the sum of its proper divisors (1879669125668).

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

1201300000000 is an frugal number, since it uses more digits than its factorization.

1201300000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 1201300000000 its reverse (31021), we get a palindrome (1201300031021).

The spelling of 1201300000000 in words is "one trillion, two hundred one billion, three hundred million", and thus it is an aban number.