1012001221200 has 120 divisors (see below), whose sum is σ = 3432470093568. Its totient is φ = 253992458240.

The previous prime is 1012001221163. The next prime is 1012001221201. The reversal of 1012001221200 is 21221002101.

It is a tau number, because it is divible by the number of its divisors (120).

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 (1012001221201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24783552 + ... + 24824351.

Almost surely, 2^{1012001221200} is an apocalyptic number.

1012001221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012001221200 is an abundant number, since it is smaller than the sum of its proper divisors (2420468872368).

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

1012001221200 is a wasteful number, since it uses less digits than its factorization.

1012001221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49607941 (or 49607930 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1012001221200 its reverse (21221002101), we get a palindrome (1033222223301).

The spelling of 1012001221200 in words is "one trillion, twelve billion, one million, two hundred twenty-one thousand, two hundred".