1205211913344 has 448 divisors, whose sum is σ = 3829838423040. Its totient is φ = 376299675648.

The previous prime is 1205211913307. The next prime is 1205211913357. The reversal of 1205211913344 is 4433191125021.

1205211913344 is a `hidden beast` number, since 1 + 2 + 0 + 521 + 1 + 91 + 3 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1205211913299 and 1205211913308.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 353744089 + ... + 353747495.

It is an arithmetic number, because the mean of its divisors is an integer number (8548746480).

Almost surely, 2^{1205211913344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205211913344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914919211520).

1205211913344 is an abundant number, since it is smaller than the sum of its proper divisors (2624626509696).

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

1205211913344 is an equidigital number, since it uses as much as digits as its factorization.

1205211913344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3679 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1205211913344 in words is "one trillion, two hundred five billion, two hundred eleven million, nine hundred thirteen thousand, three hundred forty-four".