21211120000 has 320 divisors, whose sum is σ = 61658388000. Its totient is φ = 7262976000.

The previous prime is 21211119991. The next prime is 21211120001. The reversal of 21211120000 is 2111212.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×21211120000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211120001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27439614 + ... + 27440386.

Almost surely, 2^21211120000 is an apocalyptic number.

21211120000 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 21211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30829194000).

21211120000 is an abundant number, since it is smaller than the sum of its proper divisors (40447268000).

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

21211120000 is an frugal number, since it uses more digits than its factorization.

21211120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21211120000 its reverse (2111212), we get a palindrome (21213231212).

The spelling of 21211120000 in words is "twenty-one billion, two hundred eleven million, one hundred twenty thousand".