10302213121200 has 1440 divisors, whose sum is σ = 48400829148672. Its totient is φ = 1975965235200.

The previous prime is 10302213121159. The next prime is 10302213121217. The reversal of 10302213121200 is 212131220301.

10302213121200 is a `hidden beast` number, since 10 + 3 + 0 + 221 + 312 + 120 + 0 = 666.

It is a super-4 number, since 4×10302213121200⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 287 ways as a sum of consecutive naturals, for example, 436023787 + ... + 436047413.

Almost surely, 2^{10302213121200} is an apocalyptic number.

10302213121200 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 10302213121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24200414574336).

10302213121200 is an abundant number, since it is smaller than the sum of its proper divisors (38098616027472).

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

10302213121200 is a wasteful number, since it uses less digits than its factorization.

10302213121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23704 (or 23668 counting only the distinct ones).

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

Adding to 10302213121200 its reverse (212131220301), we get a palindrome (10514344341501).

The spelling of 10302213121200 in words is "ten trillion, three hundred two billion, two hundred thirteen million, one hundred twenty-one thousand, two hundred".