241220224100 has 72 divisors (see below), whose sum is σ = 536428640328. Its totient is φ = 94097203200.

The previous prime is 241220224039. The next prime is 241220224123. The reversal of 241220224100 is 1422022142.

It can be written as a sum of positive squares in 12 ways, for example, as 39920839204 + 201299384896 = 199802^2 + 448664^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11703404 + ... + 11723996.

Almost surely, 2^241220224100 is an apocalyptic number.

241220224100 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 241220224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268214320164).

241220224100 is an abundant number, since it is smaller than the sum of its proper divisors (295208416228).

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

241220224100 is a wasteful number, since it uses less digits than its factorization.

241220224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23505 (or 23498 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 241220224100 its reverse (1422022142), we get a palindrome (242642246242).

The spelling of 241220224100 in words is "two hundred forty-one billion, two hundred twenty million, two hundred twenty-four thousand, one hundred".