1361200000 has 192 divisors, whose sum is σ = 3513993840. Its totient is φ = 524800000.

The previous prime is 1361199997. The next prime is 1361200003. The reversal of 1361200000 is 21631.

It is an interprime number because it is at equal distance from previous prime (1361199997) and next prime (1361200003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361200003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16399959 + ... + 16400041.

Almost surely, 2^1361200000 is an apocalyptic number.

1361200000 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 1361200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756996920).

1361200000 is an abundant number, since it is smaller than the sum of its proper divisors (2152793840).

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

1361200000 is an frugal number, since it uses more digits than its factorization.

1361200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1361200000 is about 36894.4440261674. Note that the first 3 decimals coincide. The cubic root of 1361200000 is about 1108.2574178064.

Adding to 1361200000 its reverse (21631), we get a palindrome (1361221631).

The spelling of 1361200000 in words is "one billion, three hundred sixty-one million, two hundred thousand".