21122311210000 has 1200 divisors, whose sum is σ = 72681902346240. Its totient is φ = 5756624640000.

The previous prime is 21122311209973. The next prime is 21122311210001. The reversal of 21122311210000 is 1211322112.

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

It is not an unprimeable number, because it can be changed into a prime (21122311210001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2472465729 + ... + 2472474271.

Almost surely, 2^{21122311210000} is an apocalyptic number.

21122311210000 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 21122311210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36340951173120).

21122311210000 is an abundant number, since it is smaller than the sum of its proper divisors (51559591136240).

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

21122311210000 is a wasteful number, since it uses less digits than its factorization.

21122311210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8634 (or 8600 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 21122311210000 its reverse (1211322112), we get a palindrome (21123522532112).

The spelling of 21122311210000 in words is "twenty-one trillion, one hundred twenty-two billion, three hundred eleven million, two hundred ten thousand".