1200202020000 has 360 divisors, whose sum is σ = 4369028603940. Its totient is φ = 312245760000.

The previous prime is 1200202019999. The next prime is 1200202020001. The reversal of 1200202020000 is 202020021.

It is an interprime number because it is at equal distance from previous prime (1200202019999) and next prime (1200202020001).

It can be written as a sum of positive squares in 10 ways, for example, as 129746921616 + 1070455098384 = 360204^2 + 1034628^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (1200202020001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7298686 + ... + 7461314.

Almost surely, 2^{1200202020000} is an apocalyptic number.

1200202020000 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 1200202020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184514301970).

1200202020000 is an abundant number, since it is smaller than the sum of its proper divisors (3168826583940).

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

1200202020000 is a wasteful number, since it uses less digits than its factorization.

1200202020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162706 (or 162680 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 1200202020000 its reverse (202020021), we get a palindrome (1200404040021).

The spelling of 1200202020000 in words is "one trillion, two hundred billion, two hundred two million, twenty thousand".