1000021212320 has 144 divisors (see below), whose sum is σ = 2646482411160. Its totient is φ = 356505956352.

The previous prime is 1000021212319. The next prime is 1000021212371. The reversal of 1000021212320 is 232121200001.

It is a happy number.

1000021212320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 477160336 + 999544051984 = 21844^2 + 999772^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1000021212295 and 1000021212304.

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, 146522 + ... + 1421798.

Almost surely, 2^{1000021212320} is an apocalyptic number.

1000021212320 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 1000021212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323241205580).

1000021212320 is an abundant number, since it is smaller than the sum of its proper divisors (1646461198840).

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

1000021212320 is a wasteful number, since it uses less digits than its factorization.

1000021212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275347 (or 1275326 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1000021212320 its reverse (232121200001), we get a palindrome (1232142412321).

The spelling of 1000021212320 in words is "one trillion, twenty-one million, two hundred twelve thousand, three hundred twenty".