1122012000 has 240 divisors, whose sum is σ = 4119347232. Its totient is φ = 299116800.

The previous prime is 1122011983. The next prime is 1122012007. The reversal of 1122012000 is 2102211.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122012007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 322269 + ... + 325731.

Almost surely, 2^1122012000 is an apocalyptic number.

1122012000 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 1122012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059673616).

1122012000 is an abundant number, since it is smaller than the sum of its proper divisors (2997335232).

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

1122012000 is an equidigital number, since it uses as much as digits as its factorization.

1122012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1122012000 is about 33496.4475728397. The cubic root of 1122012000 is about 1039.1203113480.

Adding to 1122012000 its reverse (2102211), we get a palindrome (1124114211).

It can be divided in two parts, 11220 and 12000, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 1122012000 in words is "one billion, one hundred twenty-two million, twelve thousand".