21120221122000 has 960 divisors, whose sum is σ = 69624102772224. Its totient is φ = 6029337600000.

The previous prime is 21120221121977. The next prime is 21120221122061. The reversal of 21120221122000 is 22112202112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2884878340 + ... + 2884885660.

Almost surely, 2^{21120221122000} is an apocalyptic number.

21120221122000 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 21120221122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34812051386112).

21120221122000 is an abundant number, since it is smaller than the sum of its proper divisors (48503881650224).

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

21120221122000 is a wasteful number, since it uses less digits than its factorization.

21120221122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7517 (or 7490 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21120221122000 its reverse (22112202112), we get a palindrome (21142333324112).

It can be divided in two parts, 21 and 120221122000, that added together give a palindrome (120221122021).

The spelling of 21120221122000 in words is "twenty-one trillion, one hundred twenty billion, two hundred twenty-one million, one hundred twenty-two thousand".