1205034400008 has 128 divisors (see below), whose sum is σ = 3383370288000. Its totient is φ = 397374232320.

The previous prime is 1205034399997. The next prime is 1205034400043. The reversal of 1205034400008 is 8000044305021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7688263 + ... + 7843433.

It is an arithmetic number, because the mean of its divisors is an integer number (26432580375).

Almost surely, 2^{1205034400008} is an apocalyptic number.

1205034400008 is a gapful number since it is divisible by the number (18) 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 1205034400008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691685144000).

1205034400008 is an abundant number, since it is smaller than the sum of its proper divisors (2178335887992).

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

1205034400008 is a wasteful number, since it uses less digits than its factorization.

1205034400008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155572 (or 155562 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1205034400008 its reverse (8000044305021), we get a palindrome (9205078705029).

The spelling of 1205034400008 in words is "one trillion, two hundred five billion, thirty-four million, four hundred thousand, eight".