1012211041200 has 120 divisors (see below), whose sum is σ = 3248821563600. Its totient is φ = 269392481280.

The previous prime is 1012211041159. The next prime is 1012211041343. The reversal of 1012211041200 is 21401122101.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1012211041200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217795 + ... + 1439394.

It is an arithmetic number, because the mean of its divisors is an integer number (27073513030).

Almost surely, 2^{1012211041200} is an apocalyptic number.

1012211041200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012211041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624410781800).

1012211041200 is an abundant number, since it is smaller than the sum of its proper divisors (2236610522400).

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

1012211041200 is a wasteful number, since it uses less digits than its factorization.

1012211041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657719 (or 1657708 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1012211041200 its reverse (21401122101), we get a palindrome (1033612163301).

The spelling of 1012211041200 in words is "one trillion, twelve billion, two hundred eleven million, forty-one thousand, two hundred".