1200500534400 has 192 divisors, whose sum is σ = 4008317394720. Its totient is φ = 315747901440.

The previous prime is 1200500534353. The next prime is 1200500534459. The reversal of 1200500534400 is 44350050021.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155722 + ... + 1557321.

Almost surely, 2^{1200500534400} is an apocalyptic number.

1200500534400 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 1200500534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004158697360).

1200500534400 is an abundant number, since it is smaller than the sum of its proper divisors (2807816860320).

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

1200500534400 is a wasteful number, since it uses less digits than its factorization.

1200500534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713143 (or 1713126 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 1200500534400 its reverse (44350050021), we get a palindrome (1244850584421).

The spelling of 1200500534400 in words is "one trillion, two hundred billion, five hundred million, five hundred thirty-four thousand, four hundred".