1001212212168 has 256 divisors, whose sum is σ = 3250442649600. Its totient is φ = 279621538560.

The previous prime is 1001212212167. The next prime is 1001212212197. The reversal of 1001212212168 is 8612122121001.

1001212212168 is a `hidden beast` number, since 100 + 121 + 221 + 216 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1001212212167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21693805 + ... + 21739907.

It is an arithmetic number, because the mean of its divisors is an integer number (12697041600).

Almost surely, 2^{1001212212168} is an apocalyptic number.

1001212212168 is a gapful number since it is divisible by the number (18) 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 1001212212168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625221324800).

1001212212168 is an abundant number, since it is smaller than the sum of its proper divisors (2249230437432).

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

1001212212168 is a wasteful number, since it uses less digits than its factorization.

1001212212168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46449 (or 46439 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 1001212212168 its reverse (8612122121001), we get a palindrome (9613334333169).

The spelling of 1001212212168 in words is "one trillion, one billion, two hundred twelve million, two hundred twelve thousand, one hundred sixty-eight".