1300212530400 has 432 divisors, whose sum is σ = 5056237223856. Its totient is φ = 289158266880.

The previous prime is 1300212530399. The next prime is 1300212530413. The reversal of 1300212530400 is 40352120031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4201792 + ... + 4500608.

It is an arithmetic number, because the mean of its divisors is an integer number (11704252833).

Almost surely, 2^{1300212530400} is an apocalyptic number.

1300212530400 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 1300212530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528118611928).

1300212530400 is an abundant number, since it is smaller than the sum of its proper divisors (3756024693456).

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

1300212530400 is a wasteful number, since it uses less digits than its factorization.

1300212530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298891 (or 298871 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 1300212530400 its reverse (40352120031), we get a palindrome (1340564650431).

The spelling of 1300212530400 in words is "one trillion, three hundred billion, two hundred twelve million, five hundred thirty thousand, four hundred".