24242420214012 has 192 divisors, whose sum is σ = 75953437507584. Its totient is φ = 5811973896960.

The previous prime is 24242420213983. The next prime is 24242420214043. The reversal of 24242420214012 is 21041202424242.

It is a super-2 number, since 2×24242420214012² (a number of 28 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 63 ways as a sum of consecutive naturals, for example, 201585333 + ... + 201705555.

It is an arithmetic number, because the mean of its divisors is an integer number (395590820352).

Almost surely, 2^{24242420214012} is an apocalyptic number.

24242420214012 is a gapful number since it is divisible by the number (22) 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 24242420214012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37976718753792).

24242420214012 is an abundant number, since it is smaller than the sum of its proper divisors (51711017293572).

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

24242420214012 is a wasteful number, since it uses less digits than its factorization.

24242420214012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137048 (or 137046 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 24242420214012 its reverse (21041202424242), we get a palindrome (45283622638254).

The spelling of 24242420214012 in words is "twenty-four trillion, two hundred forty-two billion, four hundred twenty million, two hundred fourteen thousand, twelve".