11111322222000 has 2880 divisors, whose sum is σ = 54492801487488. Its totient is φ = 2072770560000.

The previous prime is 11111322221983. The next prime is 11111322222053. The reversal of 11111322222000 is 22222311111.

11111322222000 is a `hidden beast` number, since 1 + 111 + 132 + 222 + 200 + 0 = 666.

It is a super-2 number, since 2×11111322222000² (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 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 575 ways as a sum of consecutive naturals, for example, 4666660810 + ... + 4666663190.

Almost surely, 2^{11111322222000} is an apocalyptic number.

11111322222000 is a gapful number since it is divisible by the number (10) 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 11111322222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27246400743744).

11111322222000 is an abundant number, since it is smaller than the sum of its proper divisors (43381479265488).

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

11111322222000 is a wasteful number, since it uses less digits than its factorization.

11111322222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2459 counting only the distinct ones).

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

Adding to 11111322222000 its reverse (22222311111), we get a palindrome (11133544533111).

The spelling of 11111322222000 in words is "eleven trillion, one hundred eleven billion, three hundred twenty-two million, two hundred twenty-two thousand".