221012121222000 has 960 divisors, whose sum is σ = 794925628503552. Its totient is φ = 57196339200000.

The previous prime is 221012121221993. The next prime is 221012121222031. The reversal of 221012121222000 is 222121210122.

It is a happy number.

221012121222000 is a `hidden beast` number, since 2 + 210 + 1 + 21 + 212 + 220 + 0 + 0 = 666.

221012121222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137019293194 + ... + 137019294806.

Almost surely, 2^{221012121222000} is an apocalyptic number.

221012121222000 is a gapful number since it is divisible by the number (20) 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 221012121222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397462814251776).

221012121222000 is an abundant number, since it is smaller than the sum of its proper divisors (573913507281552).

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

221012121222000 is a wasteful number, since it uses less digits than its factorization.

221012121222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221012121222000 its reverse (222121210122), we get a palindrome (221234242432122).

The spelling of 221012121222000 in words is "two hundred twenty-one trillion, twelve billion, one hundred twenty-one million, two hundred twenty-two thousand".