1362120320 has 128 divisors (see below), whose sum is σ = 3574471680. Its totient is φ = 492236800.

The previous prime is 1362120311. The next prime is 1362120337. The reversal of 1362120320 is 230212631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1362120292 and 1362120301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1344134 + ... + 1345146.

It is an arithmetic number, because the mean of its divisors is an integer number (27925560).

Almost surely, 2^1362120320 is an apocalyptic number.

1362120320 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 1362120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787235840).

1362120320 is an abundant number, since it is smaller than the sum of its proper divisors (2212351360).

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

1362120320 is a wasteful number, since it uses less digits than its factorization.

1362120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1362120320 is about 36906.9142573583. The cubic root of 1362120320 is about 1108.5071292588.

Adding to 1362120320 its reverse (230212631), we get a palindrome (1592332951).

The spelling of 1362120320 in words is "one billion, three hundred sixty-two million, one hundred twenty thousand, three hundred twenty".