140305002120000 has 980 divisors, whose sum is σ = 522171704017216. Its totient is φ = 37375655040000.

The previous prime is 140305002119993. The next prime is 140305002120001. The reversal of 140305002120000 is 21200503041.

140305002120000 is a `hidden beast` number, since 1 + 40 + 3 + 0 + 500 + 2 + 120 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140305002120001) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 37645558137 + ... + 37645561863.

Almost surely, 2^{140305002120000} is an apocalyptic number.

140305002120000 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 140305002120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261085852008608).

140305002120000 is an abundant number, since it is smaller than the sum of its proper divisors (381866701897216).

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

140305002120000 is an frugal number, since it uses more digits than its factorization.

140305002120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 140305002120000 its reverse (21200503041), we get a palindrome (140326202623041).

The spelling of 140305002120000 in words is "one hundred forty trillion, three hundred five billion, two million, one hundred twenty thousand".