1122300021000 has 512 divisors, whose sum is σ = 3701058117120. Its totient is φ = 282825216000.

The previous prime is 1122300020999. The next prime is 1122300021079. The reversal of 1122300021000 is 1200032211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 561992002 + ... + 561993998.

It is an arithmetic number, because the mean of its divisors is an integer number (7228629135).

Almost surely, 2^{1122300021000} is an apocalyptic number.

1122300021000 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 1122300021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850529058560).

1122300021000 is an abundant number, since it is smaller than the sum of its proper divisors (2578758096120).

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

1122300021000 is a wasteful number, since it uses less digits than its factorization.

1122300021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1122300021000 its reverse (1200032211), we get a palindrome (1123500053211).

The spelling of 1122300021000 in words is "one trillion, one hundred twenty-two billion, three hundred million, twenty-one thousand".