1350122400 has 216 divisors, whose sum is σ = 5193980064. Its totient is φ = 327283200.

The previous prime is 1350122393. The next prime is 1350122401. The reversal of 1350122400 is 42210531.

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

It is not an unprimeable number, because it can be changed into a prime (1350122401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70677 + ... + 87723.

It is an arithmetic number, because the mean of its divisors is an integer number (24046204).

Almost surely, 2^1350122400 is an apocalyptic number.

1350122400 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 1350122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596990032).

1350122400 is an abundant number, since it is smaller than the sum of its proper divisors (3843857664).

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

1350122400 is a wasteful number, since it uses less digits than its factorization.

1350122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17084 (or 17068 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1350122400 is about 36744.0117570197. The cubic root of 1350122400 is about 1105.2428504683.

Adding to 1350122400 its reverse (42210531), we get a palindrome (1392332931).

The spelling of 1350122400 in words is "one billion, three hundred fifty million, one hundred twenty-two thousand, four hundred".