10121340240 has 180 divisors, whose sum is σ = 37362147732. Its totient is φ = 2453637120.

The previous prime is 10121340239. The next prime is 10121340287. The reversal of 10121340240 is 4204312101.

10121340240 is a `hidden beast` number, since 10 + 1 + 213 + 402 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3117658896 + 7003681344 = 55836^2 + 83688^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 29032 + ... + 145208.

Almost surely, 2^10121340240 is an apocalyptic number.

10121340240 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 10121340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681073866).

10121340240 is an abundant number, since it is smaller than the sum of its proper divisors (27240807492).

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

10121340240 is a wasteful number, since it uses less digits than its factorization.

10121340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116218 (or 116198 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10121340240 its reverse (4204312101), we get a palindrome (14325652341).

The spelling of 10121340240 in words is "ten billion, one hundred twenty-one million, three hundred forty thousand, two hundred forty".