1010224341200 has 60 divisors (see below), whose sum is σ = 2451094414188. Its totient is φ = 400088832000.

The previous prime is 1010224341197. The next prime is 1010224341209. The reversal of 1010224341200 is 21434220101.

It can be written as a sum of positive squares in 6 ways, for example, as 157431194176 + 852793147024 = 396776^2 + 923468^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010224341209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12462377 + ... + 12543176.

Almost surely, 2^{1010224341200} is an apocalyptic number.

1010224341200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010224341200 is an abundant number, since it is smaller than the sum of its proper divisors (1440870072988).

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

1010224341200 is a wasteful number, since it uses less digits than its factorization.

1010224341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25005672 (or 25005661 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1010224341200 its reverse (21434220101), we get a palindrome (1031658561301).

The spelling of 1010224341200 in words is "one trillion, ten billion, two hundred twenty-four million, three hundred forty-one thousand, two hundred".