1001240430120 has 192 divisors, whose sum is σ = 3733365841920. Its totient is φ = 227964321792.

The previous prime is 1001240430109. The next prime is 1001240430137. The reversal of 1001240430120 is 210340421001.

1001240430120 is a `hidden beast` number, since 100 + 1 + 240 + 4 + 301 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1001240430093 and 1001240430102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125352 + ... + 1420631.

It is an arithmetic number, because the mean of its divisors is an integer number (19444613760).

Almost surely, 2^{1001240430120} is an apocalyptic number.

1001240430120 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 1001240430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866682920960).

1001240430120 is an abundant number, since it is smaller than the sum of its proper divisors (2732125411800).

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

1001240430120 is a wasteful number, since it uses less digits than its factorization.

1001240430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546264 (or 1546257 counting only the distinct ones).

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

Adding to 1001240430120 its reverse (210340421001), we get a palindrome (1211580851121).

The spelling of 1001240430120 in words is "one trillion, one billion, two hundred forty million, four hundred thirty thousand, one hundred twenty".