12114212240 has 320 divisors, whose sum is σ = 34629783552. Its totient is φ = 3896893440.

The previous prime is 12114212239. The next prime is 12114212269. The reversal of 12114212240 is 4221241121.

It is a super-3 number, since 3×12114212240³ (a number of 31 digits) contains 333 as substring.

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

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, 390781025 + ... + 390781055.

Almost surely, 2^12114212240 is an apocalyptic number.

12114212240 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 12114212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17314891776).

12114212240 is an abundant number, since it is smaller than the sum of its proper divisors (22515571312).

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

12114212240 is a wasteful number, since it uses less digits than its factorization.

12114212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12114212240 its reverse (4221241121), we get a palindrome (16335453361).

The spelling of 12114212240 in words is "twelve billion, one hundred fourteen million, two hundred twelve thousand, two hundred forty".