12822001920 has 1008 divisors, whose sum is σ = 57049773312. Its totient is φ = 2687385600.

The previous prime is 12822001909. The next prime is 12822001943. The reversal of 12822001920 is 2910022821.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 84913845 + ... + 84913995.

Almost surely, 2^12822001920 is an apocalyptic number.

12822001920 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 12822001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28524886656).

12822001920 is an abundant number, since it is smaller than the sum of its proper divisors (44227771392).

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

12822001920 is an equidigital number, since it uses as much as digits as its factorization.

12822001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 12822001920 in words is "twelve billion, eight hundred twenty-two million, one thousand, nine hundred twenty".