1213208064 has 320 divisors, whose sum is σ = 3928320000. Its totient is φ = 368271360.

The previous prime is 1213208053. The next prime is 1213208123. The reversal of 1213208064 is 4608023121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8142262 + ... + 8142410.

It is an arithmetic number, because the mean of its divisors is an integer number (12276000).

Almost surely, 2^1213208064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213208064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964160000).

1213208064 is an abundant number, since it is smaller than the sum of its proper divisors (2715111936).

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

1213208064 is a wasteful number, since it uses less digits than its factorization.

1213208064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1213208064 is about 34831.1364155693. The cubic root of 1213208064 is about 1066.5431468081.

The spelling of 1213208064 in words is "one billion, two hundred thirteen million, two hundred eight thousand, sixty-four".