12262434240 has 672 divisors, whose sum is σ = 47846894400. Its totient is φ = 2649292800.

The previous prime is 12262434181. The next prime is 12262434241. The reversal of 12262434240 is 4243426221.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12262434198 and 12262434207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12262434241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121410190 + ... + 121410290.

Almost surely, 2^12262434240 is an apocalyptic number.

12262434240 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 12262434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23923447200).

12262434240 is an abundant number, since it is smaller than the sum of its proper divisors (35584460160).

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

12262434240 is a wasteful number, since it uses less digits than its factorization.

12262434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 12262434240 in words is "twelve billion, two hundred sixty-two million, four hundred thirty-four thousand, two hundred forty".