1200013122000 has 640 divisors, whose sum is σ = 4830119424000. Its totient is φ = 249010944000.

The previous prime is 1200013121969. The next prime is 1200013122019. The reversal of 1200013122000 is 2213100021.

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

It is a congruent number.

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, 470776726 + ... + 470779274.

It is an arithmetic number, because the mean of its divisors is an integer number (7547061600).

Almost surely, 2^{1200013122000} is an apocalyptic number.

1200013122000 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 1200013122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415059712000).

1200013122000 is an abundant number, since it is smaller than the sum of its proper divisors (3630106302000).

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

1200013122000 is a wasteful number, since it uses less digits than its factorization.

1200013122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3596 counting only the distinct ones).

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

Adding to 1200013122000 its reverse (2213100021), we get a palindrome (1202226222021).

It can be divided in two parts, 12000 and 13122000, that multiplied together give a cube (157464000000 = 5400³).

The spelling of 1200013122000 in words is "one trillion, two hundred billion, thirteen million, one hundred twenty-two thousand".