22221311112000 has 4032 divisors, whose sum is σ = 110385649939968. Its totient is φ = 4140564480000.

The previous prime is 22221311111977. The next prime is 22221311112023. The reversal of 22221311112000 is 21111312222.

22221311112000 is a `hidden beast` number, since 2 + 222 + 131 + 111 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22221311111977) and next prime (22221311112023).

It is a tau number, because it is divible by the number of its divisors (4032).

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 575 ways as a sum of consecutive naturals, for example, 34666631680 + ... + 34666632320.

Almost surely, 2^{22221311112000} is an apocalyptic number.

22221311112000 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 22221311112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55192824969984).

22221311112000 is an abundant number, since it is smaller than the sum of its proper divisors (88164338827968).

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

22221311112000 is a wasteful number, since it uses less digits than its factorization.

22221311112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 22221311112000 its reverse (21111312222), we get a palindrome (22242422424222).

The spelling of 22221311112000 in words is "twenty-two trillion, two hundred twenty-one billion, three hundred eleven million, one hundred twelve thousand".