1023003223200 has 648 divisors, whose sum is σ = 4215464443008. Its totient is φ = 232762844160.

The previous prime is 1023003223199. The next prime is 1023003223211. The reversal of 1023003223200 is 23223003201.

It is a happy number.

1023003223200 is a `hidden beast` number, since 1 + 0 + 23 + 0 + 0 + 322 + 320 + 0 = 666.

It is a super-3 number, since 3×1023003223200³ (a number of 37 digits) contains 333 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 107 ways as a sum of consecutive naturals, for example, 78667899 + ... + 78680901.

Almost surely, 2^{1023003223200} is an apocalyptic number.

1023003223200 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 1023003223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107732221504).

1023003223200 is an abundant number, since it is smaller than the sum of its proper divisors (3192461219808).

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

1023003223200 is a wasteful number, since it uses less digits than its factorization.

1023003223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13266 (or 13243 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1023003223200 its reverse (23223003201), we get a palindrome (1046226226401).

The spelling of 1023003223200 in words is "one trillion, twenty-three billion, three million, two hundred twenty-three thousand, two hundred".