10220430321200 has 360 divisors, whose sum is σ = 28537064827920. Its totient is φ = 3487839027200.

The previous prime is 10220430321197. The next prime is 10220430321221. The reversal of 10220430321200 is 212303402201.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 71 ways as a sum of consecutive naturals, for example, 448863416 + ... + 448886184.

It is an arithmetic number, because the mean of its divisors is an integer number (79269624522).

Almost surely, 2^{10220430321200} is an apocalyptic number.

10220430321200 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 10220430321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268532413960).

10220430321200 is an abundant number, since it is smaller than the sum of its proper divisors (18316634506720).

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

10220430321200 is a wasteful number, since it uses less digits than its factorization.

10220430321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23185 (or 23157 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10220430321200 its reverse (212303402201), we get a palindrome (10432733723401).

The spelling of 10220430321200 in words is "ten trillion, two hundred twenty billion, four hundred thirty million, three hundred twenty-one thousand, two hundred".