1201040022000 has 640 divisors, whose sum is σ = 4783901810688. Its totient is φ = 252440064000.

The previous prime is 1201040021981. The next prime is 1201040022001. The reversal of 1201040022000 is 2200401021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201040022001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 147961942 + ... + 147970058.

Almost surely, 2^{1201040022000} is an apocalyptic number.

1201040022000 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 1201040022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391950905344).

1201040022000 is an abundant number, since it is smaller than the sum of its proper divisors (3582861788688).

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

1201040022000 is a wasteful number, since it uses less digits than its factorization.

1201040022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8434 (or 8418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1201040022000 its reverse (2200401021), we get a palindrome (1203240423021).

The spelling of 1201040022000 in words is "one trillion, two hundred one billion, forty million, twenty-two thousand".