11212002000 has 120 divisors (see below), whose sum is σ = 39159848520. Its totient is φ = 2989862400.

The previous prime is 11212001987. The next prime is 11212002001. The reversal of 11212002000 is 20021211.

It can be written as a sum of positive squares in 4 ways, for example, as 1246372416 + 9965629584 = 35304^2 + 99828^2 .

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 (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212002001) 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, 293445 + ... + 329444.

It is an arithmetic number, because the mean of its divisors is an integer number (326332071).

Almost surely, 2^11212002000 is an apocalyptic number.

11212002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212002000 is an abundant number, since it is smaller than the sum of its proper divisors (27947846520).

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

11212002000 is a wasteful number, since it uses less digits than its factorization.

11212002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622918 (or 622899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11212002000 its reverse (20021211), we get a palindrome (11232023211).

The spelling of 11212002000 in words is "eleven billion, two hundred twelve million, two thousand".