1023002212320 has 576 divisors, whose sum is σ = 3891371440320. Its totient is φ = 242653593600.

The previous prime is 1023002212259. The next prime is 1023002212333. The reversal of 1023002212320 is 232122003201.

1023002212320 is a `hidden beast` number, since 10 + 2 + 300 + 22 + 12 + 320 = 666.

It is a super-2 number, since 2×1023002212320² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1023002212293 and 1023002212302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136742980 + ... + 136750460.

It is an arithmetic number, because the mean of its divisors is an integer number (6755853195).

Almost surely, 2^{1023002212320} is an apocalyptic number.

1023002212320 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 1023002212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945685720160).

1023002212320 is an abundant number, since it is smaller than the sum of its proper divisors (2868369228000).

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

1023002212320 is a wasteful number, since it uses less digits than its factorization.

1023002212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7699 (or 7688 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1023002212320 its reverse (232122003201), we get a palindrome (1255124215521).

The spelling of 1023002212320 in words is "one trillion, twenty-three billion, two million, two hundred twelve thousand, three hundred twenty".