221001212012000 has 192 divisors, whose sum is σ = 626715682669440. Its totient is φ = 75021626880000.

The previous prime is 221001212011999. The next prime is 221001212012003. The reversal of 221001212012000 is 210212100122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221001212012003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36245765 + ... + 41901764.

It is an arithmetic number, because the mean of its divisors is an integer number (3264144180570).

Almost surely, 2^{221001212012000} is an apocalyptic number.

221001212012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001212012000 is an abundant number, since it is smaller than the sum of its proper divisors (405714470657440).

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

221001212012000 is a wasteful number, since it uses less digits than its factorization.

221001212012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78147662 (or 78147644 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221001212012000 its reverse (210212100122), we get a palindrome (221211424112122).

The spelling of 221001212012000 in words is "two hundred twenty-one trillion, one billion, two hundred twelve million, twelve thousand".