1122122112000 has 704 divisors, whose sum is σ = 3852339499008. Its totient is φ = 289751040000.

The previous prime is 1122122111963. The next prime is 1122122112103. The reversal of 1122122112000 is 2112212211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4140671865 + ... + 4140672135.

It is an arithmetic number, because the mean of its divisors is an integer number (5472073152).

Almost surely, 2^{1122122112000} is an apocalyptic number.

1122122112000 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 1122122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926169749504).

1122122112000 is an abundant number, since it is smaller than the sum of its proper divisors (2730217387008).

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

1122122112000 is a wasteful number, since it uses less digits than its factorization.

1122122112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1122122112000 its reverse (2112212211), we get a palindrome (1124234324211).

The spelling of 1122122112000 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twelve thousand".