1200402133120 has 64 divisors (see below), whose sum is σ = 2870226235800. Its totient is φ = 480074702848.

The previous prime is 1200402133081. The next prime is 1200402133121. The reversal of 1200402133120 is 213312040021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 524836495936 + 675565637184 = 724456^2 + 821928^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1200402133121) 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 7 ways as a sum of consecutive naturals, for example, 3462732 + ... + 3793588.

Almost surely, 2^{1200402133120} is an apocalyptic number.

1200402133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200402133120 is an abundant number, since it is smaller than the sum of its proper divisors (1669824102680).

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

1200402133120 is an equidigital number, since it uses as much as digits as its factorization.

1200402133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336545 (or 336533 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1200402133120 its reverse (213312040021), we get a palindrome (1413714173141).

The spelling of 1200402133120 in words is "one trillion, two hundred billion, four hundred two million, one hundred thirty-three thousand, one hundred twenty".