1351123200 has 432 divisors, whose sum is σ = 5667276160. Its totient is φ = 308551680.

The previous prime is 1351123183. The next prime is 1351123217. The reversal of 1351123200 is 23211531.

It is an interprime number because it is at equal distance from previous prime (1351123183) and next prime (1351123217).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1209042 + ... + 1210158.

Almost surely, 2^1351123200 is an apocalyptic number.

1351123200 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 1351123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833638080).

1351123200 is an abundant number, since it is smaller than the sum of its proper divisors (4316152960).

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

1351123200 is a wasteful number, since it uses less digits than its factorization.

1351123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1351123200 is about 36757.6277798228. The cubic root of 1351123200 is about 1105.5158760462.

Adding to 1351123200 its reverse (23211531), we get a palindrome (1374334731).

The spelling of 1351123200 in words is "one billion, three hundred fifty-one million, one hundred twenty-three thousand, two hundred".