67121001216 has 252 divisors, whose sum is σ = 201573184792. Its totient is φ = 22296342528.

The previous prime is 67121001169. The next prime is 67121001253. The reversal of 67121001216 is 61210012176.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 67121001216.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 85286775 + ... + 85287561.

Almost surely, 2^67121001216 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 67121001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100786592396).

67121001216 is an abundant number, since it is smaller than the sum of its proper divisors (134452183576).

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

67121001216 is an frugal number, since it uses more digits than its factorization.

67121001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 67121001216 in words is "sixty-seven billion, one hundred twenty-one million, one thousand, two hundred sixteen".