1011211201200 has 120 divisors (see below), whose sum is σ = 3380083446528. Its totient is φ = 257932125440.

The previous prime is 1011211201183. The next prime is 1011211201207. The reversal of 1011211201200 is 21021121101.

1011211201200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (1011211201207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18291444 + ... + 18346643.

Almost surely, 2^{1011211201200} is an apocalyptic number.

1011211201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011211201200 is an abundant number, since it is smaller than the sum of its proper divisors (2368872245328).

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

1011211201200 is a wasteful number, since it uses less digits than its factorization.

1011211201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36638131 (or 36638120 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011211201200 its reverse (21021121101), we get a palindrome (1032232322301).

The spelling of 1011211201200 in words is "one trillion, eleven billion, two hundred eleven million, two hundred one thousand, two hundred".