1284212160 has 336 divisors, whose sum is σ = 5508052992. Its totient is φ = 266803200.

The previous prime is 1284212141. The next prime is 1284212179. The reversal of 1284212160 is 612124821.

1284212160 is a `hidden beast` number, since 1 + 28 + 421 + 216 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1284212141) and next prime (1284212179).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218865 + ... + 224655.

Almost surely, 2^1284212160 is an apocalyptic number.

1284212160 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 1284212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754026496).

1284212160 is an abundant number, since it is smaller than the sum of its proper divisors (4223840832).

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

1284212160 is a wasteful number, since it uses less digits than its factorization.

1284212160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5832 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1284212160 is about 35835.9060161732. The cubic root of 1284212160 is about 1086.9567385674.

Adding to 1284212160 its reverse (612124821), we get a palindrome (1896336981).

It can be divided in two parts, 1284 and 212160, that added together give a square (213444 = 462²).

The spelling of 1284212160 in words is "one billion, two hundred eighty-four million, two hundred twelve thousand, one hundred sixty".