1122211012000 has 192 divisors, whose sum is σ = 2970716400288. Its totient is φ = 414167040000.

The previous prime is 1122211011989. The next prime is 1122211012001. The reversal of 1122211012000 is 2101122211.

It can be written as a sum of positive squares in 16 ways, for example, as 164404299024 + 957806712976 = 405468^2 + 978676^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1122211012001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174768790 + ... + 174775210.

Almost surely, 2^{1122211012000} is an apocalyptic number.

1122211012000 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 1122211012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485358200144).

1122211012000 is an abundant number, since it is smaller than the sum of its proper divisors (1848505388288).

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

1122211012000 is a wasteful number, since it uses less digits than its factorization.

1122211012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9820 (or 9802 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1122211012000 its reverse (2101122211), we get a palindrome (1124312134211).

The spelling of 1122211012000 in words is "one trillion, one hundred twenty-two billion, two hundred eleven million, twelve thousand".