1352212400 has 240 divisors, whose sum is σ = 4148567808. Its totient is φ = 411264000.

The previous prime is 1352212369. The next prime is 1352212423. The reversal of 1352212400 is 42122531.

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

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, 1323890 + ... + 1324910.

Almost surely, 2^1352212400 is an apocalyptic number.

1352212400 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 1352212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074283904).

1352212400 is an abundant number, since it is smaller than the sum of its proper divisors (2796355408).

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

1352212400 is a wasteful number, since it uses less digits than its factorization.

1352212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1352212400 is about 36772.4407675096. The cubic root of 1352212400 is about 1105.8128646234.

Adding to 1352212400 its reverse (42122531), we get a palindrome (1394334931).

The spelling of 1352212400 in words is "one billion, three hundred fifty-two million, two hundred twelve thousand, four hundred".