1120211001000 has 1152 divisors, whose sum is σ = 4872413014560. Its totient is φ = 229920768000.

The previous prime is 1120211000959. The next prime is 1120211001011. The reversal of 1120211001000 is 1001120211.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 159838440804 + 960372560196 = 399798^2 + 979986^2 .

It is a super-2 number, since 2×1120211001000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 212118360 + ... + 212123640.

Almost surely, 2^{1120211001000} is an apocalyptic number.

1120211001000 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 1120211001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436206507280).

1120211001000 is an abundant number, since it is smaller than the sum of its proper divisors (3752202013560).

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

1120211001000 is a wasteful number, since it uses less digits than its factorization.

1120211001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5372 (or 5348 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1120211001000 its reverse (1001120211), we get a palindrome (1121212121211).

The spelling of 1120211001000 in words is "one trillion, one hundred twenty billion, two hundred eleven million, one thousand".