9212004000 has 288 divisors, whose sum is σ = 33098030784. Its totient is φ = 2426150400.

The previous prime is 9212003987. The next prime is 9212004037. The reversal of 9212004000 is 4002129.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×9212004000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2986459 + ... + 2989541.

It is an arithmetic number, because the mean of its divisors is an integer number (114923718).

Almost surely, 2^9212004000 is an apocalyptic number.

9212004000 is a gapful number since it is divisible by the number (90) 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 9212004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16549015392).

9212004000 is an abundant number, since it is smaller than the sum of its proper divisors (23886026784).

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

9212004000 is a wasteful number, since it uses less digits than its factorization.

9212004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 9212004000 is about 95979.1852434683. The cubic root of 9212004000 is about 2096.2900483365.

Adding to 9212004000 its reverse (4002129), we get a palindrome (9216006129).

The spelling of 9212004000 in words is "nine billion, two hundred twelve million, four thousand".