22211321013000 has 512 divisors, whose sum is σ = 88018939008000. Its totient is φ = 5075731123200.

The previous prime is 22211321012983. The next prime is 22211321013001. The reversal of 22211321013000 is 31012311222.

22211321013000 is a `hidden beast` number, since 2 + 2 + 211 + 321 + 0 + 130 + 0 + 0 = 666.

It is a super-2 number, since 2×22211321013000² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22211321013001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1068406606 + ... + 1068427394.

It is an arithmetic number, because the mean of its divisors is an integer number (171911990250).

Almost surely, 2^{22211321013000} is an apocalyptic number.

22211321013000 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 22211321013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44009469504000).

22211321013000 is an abundant number, since it is smaller than the sum of its proper divisors (65807617995000).

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

22211321013000 is a wasteful number, since it uses less digits than its factorization.

22211321013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26479 (or 26459 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22211321013000 its reverse (31012311222), we get a palindrome (22242333324222).

The spelling of 22211321013000 in words is "twenty-two trillion, two hundred eleven billion, three hundred twenty-one million, thirteen thousand".