140012224000020 has 144 divisors (see below), whose sum is σ = 429490062106560. Its totient is φ = 36915846105600.

The previous prime is 140012224000013. The next prime is 140012224000021. The reversal of 140012224000020 is 20000422210041.

140012224000020 is a `hidden beast` number, since 1 + 40 + 0 + 1 + 222 + 400 + 0 + 0 + 2 + 0 = 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 = 140012223999957 and 140012224000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140012224000021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 541522975 + ... + 541781465.

It is an arithmetic number, because the mean of its divisors is an integer number (2982569875740).

Almost surely, 2^{140012224000020} is an apocalyptic number.

140012224000020 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 140012224000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214745031053280).

140012224000020 is an abundant number, since it is smaller than the sum of its proper divisors (289477838106540).

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

140012224000020 is a wasteful number, since it uses less digits than its factorization.

140012224000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292406 (or 292401 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 140012224000020 its reverse (20000422210041), we get a palindrome (160012646210061).

The spelling of 140012224000020 in words is "one hundred forty trillion, twelve billion, two hundred twenty-four million, twenty", and thus it is an aban number.