10011211200 has 336 divisors, whose sum is σ = 36958036320. Its totient is φ = 2668723200.

The previous prime is 10011211193. The next prime is 10011211241. The reversal of 10011211200 is 211211001.

It is a happy number.

10011211200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3497770 + ... + 3500630.

Almost surely, 2^10011211200 is an apocalyptic number.

10011211200 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 10011211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18479018160).

10011211200 is an abundant number, since it is smaller than the sum of its proper divisors (26946825120).

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

10011211200 is an frugal number, since it uses more digits than its factorization.

10011211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10011211200 its reverse (211211001), we get a palindrome (10222422201).

It can be divided in two parts, 1001 and 1211200, that added together give a square (1212201 = 1101²).

The spelling of 10011211200 in words is "ten billion, eleven million, two hundred eleven thousand, two hundred".