11212011001000 has 96 divisors (see below), whose sum is σ = 27171997402680. Its totient is φ = 4330155648000.

The previous prime is 11212011000997. The next prime is 11212011001019. The reversal of 11212011001000 is 10011021211.

It can be written as a sum of positive squares in 12 ways, for example, as 2631552306436 + 8580458694564 = 1622206^2 + 2929242^2 .

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 23 ways as a sum of consecutive naturals, for example, 5824881 + ... + 7506880.

Almost surely, 2^{11212011001000} is an apocalyptic number.

11212011001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212011001000 is an abundant number, since it is smaller than the sum of its proper divisors (15959986401680).

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

11212011001000 is a wasteful number, since it uses less digits than its factorization.

11212011001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13331840 (or 13331797 counting only the distinct ones).

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

Adding to 11212011001000 its reverse (10011021211), we get a palindrome (11222022022211).

The spelling of 11212011001000 in words is "eleven trillion, two hundred twelve billion, eleven million, one thousand".