1212042896064 has 2016 divisors, whose sum is σ = 4999493850624. Its totient is φ = 282593525760.

The previous prime is 1212042896041. The next prime is 1212042896089. The reversal of 1212042896064 is 4606982402121.

It is a happy number.

1212042896064 is a `hidden beast` number, since 1 + 2 + 12 + 0 + 4 + 28 + 9 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×1212042896064³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10726043272 + ... + 10726043384.

It is an arithmetic number, because the mean of its divisors is an integer number (2479907664).

Almost surely, 2^{1212042896064} is an apocalyptic number.

1212042896064 is a gapful number since it is divisible by the number (14) 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 1212042896064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499746925312).

1212042896064 is an abundant number, since it is smaller than the sum of its proper divisors (3787450954560).

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

1212042896064 is a wasteful number, since it uses less digits than its factorization.

1212042896064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1212042896064 in words is "one trillion, two hundred twelve billion, forty-two million, eight hundred ninety-six thousand, sixty-four".