2412121140 has 192 divisors, whose sum is σ = 8816613120. Its totient is φ = 539758080.

The previous prime is 2412121099. The next prime is 2412121157. The reversal of 2412121140 is 411212142.

2412121140 is a `hidden beast` number, since 2 + 412 + 1 + 211 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 61602 + ... + 92838.

It is an arithmetic number, because the mean of its divisors is an integer number (45919860).

Almost surely, 2^2412121140 is an apocalyptic number.

2412121140 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 2412121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408306560).

2412121140 is an abundant number, since it is smaller than the sum of its proper divisors (6404491980).

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

2412121140 is a wasteful number, since it uses less digits than its factorization.

2412121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31279 (or 31271 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2412121140 is about 49113.3499162906. The cubic root of 2412121140 is about 1341.1160858221.

Adding to 2412121140 its reverse (411212142), we get a palindrome (2823333282).

The spelling of 2412121140 in words is "two billion, four hundred twelve million, one hundred twenty-one thousand, one hundred forty".