1122332211000 has 2592 divisors, whose sum is σ = 5357479261680. Its totient is φ = 209454336000.

The previous prime is 1122332210947. The next prime is 1122332211017. The reversal of 1122332211000 is 1122332211.

1122332211000 is a `hidden beast` number, since 1 + 122 + 332 + 211 + 0 + 0 + 0 = 666.

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 30333302982 + ... + 30333303018.

Almost surely, 2^{1122332211000} is an apocalyptic number.

1122332211000 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 1122332211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678739630840).

1122332211000 is an abundant number, since it is smaller than the sum of its proper divisors (4235147050680).

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

1122332211000 is a wasteful number, since it uses less digits than its factorization.

1122332211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 78 counting only the distinct ones).

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

Adding to 1122332211000 its reverse (1122332211), we get a palindrome (1123454543211).

1122332211000 divided by its reverse (1122332211) gives a cube (1000 = 10³).

It can be divided in two parts, 11223 and 32211000, that added together give a palindrome (32222223).

The spelling of 1122332211000 in words is "one trillion, one hundred twenty-two billion, three hundred thirty-two million, two hundred eleven thousand".