1202200144000 has 64 divisors (see below), whose sum is σ = 2988970147800. Its totient is φ = 480880051200.

The previous prime is 1202200143973. The next prime is 1202200144007. The reversal of 1202200144000 is 4410022021.

It can be written as a sum of positive squares in 4 ways, for example, as 749443415616 + 452756728384 = 865704^2 + 672872^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1202200144000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1202200144007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37552755 + ... + 37584754.

Almost surely, 2^{1202200144000} is an apocalyptic number.

1202200144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1202200144000 is an abundant number, since it is smaller than the sum of its proper divisors (1786770003800).

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

1202200144000 is an frugal number, since it uses more digits than its factorization.

1202200144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75137538 (or 75137516 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1202200144000 its reverse (4410022021), we get a palindrome (1206610166021).

The spelling of 1202200144000 in words is "one trillion, two hundred two billion, two hundred million, one hundred forty-four thousand".