1201212010000 has 100 divisors (see below), whose sum is σ = 3079328621292. Its totient is φ = 452220928000.

The previous prime is 1201212009971. The next prime is 1201212010001. The reversal of 1201212010000 is 102121021.

It can be written as a sum of positive squares in 10 ways, for example, as 788266968336 + 412945041664 = 887844^2 + 642608^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1201212010001) 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 19 ways as a sum of consecutive naturals, for example, 3362977 + ... + 3702976.

Almost surely, 2^{1201212010000} is an apocalyptic number.

1201212010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201212010000 is an abundant number, since it is smaller than the sum of its proper divisors (1878116611292).

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

1201212010000 is an equidigital number, since it uses as much as digits as its factorization.

1201212010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7065998 (or 7065977 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1201212010000 its reverse (102121021), we get a palindrome (1201314131021).

The spelling of 1201212010000 in words is "one trillion, two hundred one billion, two hundred twelve million, ten thousand".