1305400245120 has 192 divisors, whose sum is σ = 4531070091600. Its totient is φ = 346302775296.

The previous prime is 1305400245113. The next prime is 1305400245139. The reversal of 1305400245120 is 215420045031.

1305400245120 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 400 + 245 + 12 + 0 = 666.

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

It is a congruent number.

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, 524551 + ... + 1698809.

Almost surely, 2^{1305400245120} is an apocalyptic number.

1305400245120 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 1305400245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265535045800).

1305400245120 is an abundant number, since it is smaller than the sum of its proper divisors (3225669846480).

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

1305400245120 is a wasteful number, since it uses less digits than its factorization.

1305400245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174477 (or 1174462 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 1305400245120 in words is "one trillion, three hundred five billion, four hundred million, two hundred forty-five thousand, one hundred twenty".