1000111211200 has 168 divisors, whose sum is σ = 2487269041200. Its totient is φ = 395764224000.

The previous prime is 1000111211189. The next prime is 1000111211207. The reversal of 1000111211200 is 21121110001.

It is a super-4 number, since 4×1000111211200⁴ (a number of 49 digits) contains 4444 as substring.

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 (1000111211207) 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, 370547451 + ... + 370550149.

Almost surely, 2^{1000111211200} is an apocalyptic number.

1000111211200 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 1000111211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243634520600).

1000111211200 is an abundant number, since it is smaller than the sum of its proper divisors (1487157830000).

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

1000111211200 is a wasteful number, since it uses less digits than its factorization.

1000111211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5115 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1000111211200 its reverse (21121110001), we get a palindrome (1021232321201).

The spelling of 1000111211200 in words is "one trillion, one hundred eleven million, two hundred eleven thousand, two hundred".