12242440310100 has 576 divisors, whose sum is σ = 47740024442880. Its totient is φ = 2339256729600.

The previous prime is 12242440310099. The next prime is 12242440310141. The reversal of 12242440310100 is 101304424221.

It is a super-2 number, since 2×12242440310100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78901396 + ... + 79056404.

It is an arithmetic number, because the mean of its divisors is an integer number (82881986880).

Almost surely, 2^{12242440310100} is an apocalyptic number.

12242440310100 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 12242440310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23870012221440).

12242440310100 is an abundant number, since it is smaller than the sum of its proper divisors (35497584132780).

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

12242440310100 is a wasteful number, since it uses less digits than its factorization.

12242440310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155320 (or 155313 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12242440310100 its reverse (101304424221), we get a palindrome (12343744734321).

The spelling of 12242440310100 in words is "twelve trillion, two hundred forty-two billion, four hundred forty million, three hundred ten thousand, one hundred".