1204984824120 has 512 divisors, whose sum is σ = 5059389081600. Its totient is φ = 247803494400.

The previous prime is 1204984824077. The next prime is 1204984824149. The reversal of 1204984824120 is 214284894021.

1204984824120 is a `hidden beast` number, since 1 + 2 + 0 + 49 + 8 + 482 + 4 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7991830 + ... + 8141210.

It is an arithmetic number, because the mean of its divisors is an integer number (9881619300).

Almost surely, 2^{1204984824120} is an apocalyptic number.

1204984824120 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 1204984824120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529694540800).

1204984824120 is an abundant number, since it is smaller than the sum of its proper divisors (3854404257480).

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

1204984824120 is a wasteful number, since it uses less digits than its factorization.

1204984824120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149516 (or 149506 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1204984824120 in words is "one trillion, two hundred four billion, nine hundred eighty-four million, eight hundred twenty-four thousand, one hundred twenty".