1100212001200 has 480 divisors, whose sum is σ = 3139634050560. Its totient is φ = 366595891200.

The previous prime is 1100212001191. The next prime is 1100212001233. The reversal of 1100212001200 is 21002120011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 638543539 + ... + 638545261.

It is an arithmetic number, because the mean of its divisors is an integer number (6540904272).

Almost surely, 2^{1100212001200} is an apocalyptic number.

1100212001200 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 1100212001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569817025280).

1100212001200 is an abundant number, since it is smaller than the sum of its proper divisors (2039422049360).

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

1100212001200 is a wasteful number, since it uses less digits than its factorization.

1100212001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2066 counting only the distinct ones).

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

Adding to 1100212001200 its reverse (21002120011), we get a palindrome (1121214121211).

The spelling of 1100212001200 in words is "one trillion, one hundred billion, two hundred twelve million, one thousand, two hundred".