1284211998720 has 800 divisors, whose sum is σ = 5282809616640. Its totient is φ = 293534171136.

The previous prime is 1284211998691. The next prime is 1284211998761. The reversal of 1284211998720 is 278991124821.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (4!)³ ⋅ (2!)⁸.

1284211998720 is a `hidden beast` number, since 1 + 2 + 8 + 421 + 199 + 8 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 183458856957 + ... + 183458856963.

Almost surely, 2^{1284211998720} is an apocalyptic number.

1284211998720 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 1284211998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641404808320).

1284211998720 is an abundant number, since it is smaller than the sum of its proper divisors (3998597617920).

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

1284211998720 is an frugal number, since it uses more digits than its factorization.

1284211998720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 1284211998720 in words is "one trillion, two hundred eighty-four billion, two hundred eleven million, nine hundred ninety-eight thousand, seven hundred twenty".