22303201002000 has 320 divisors, whose sum is σ = 72391690635264. Its totient is φ = 5907353587200.

The previous prime is 22303201001971. The next prime is 22303201002029. The reversal of 22303201002000 is 20010230322.

It is an interprime number because it is at equal distance from previous prime (22303201001971) and next prime (22303201002029).

It is a super-2 number, since 2×22303201002000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1806359827 + ... + 1806372173.

Almost surely, 2^{22303201002000} is an apocalyptic number.

22303201002000 is a gapful number since it is divisible by the number (20) 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 22303201002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36195845317632).

22303201002000 is an abundant number, since it is smaller than the sum of its proper divisors (50088489633264).

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

22303201002000 is a wasteful number, since it uses less digits than its factorization.

22303201002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14383 (or 14367 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 22303201002000 its reverse (20010230322), we get a palindrome (22323211232322).

The spelling of 22303201002000 in words is "twenty-two trillion, three hundred three billion, two hundred one million, two thousand".