20002400141200 has 120 divisors (see below), whose sum is σ = 48346160826240. Its totient is φ = 7952735347200.

The previous prime is 20002400141189. The next prime is 20002400141203. The reversal of 20002400141200 is 214100420002.

It is a super-2 number, since 2×20002400141200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20002400141203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51526227 + ... + 51912973.

It is an arithmetic number, because the mean of its divisors is an integer number (402884673552).

Almost surely, 2^{20002400141200} is an apocalyptic number.

20002400141200 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 20002400141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24173080413120).

20002400141200 is an abundant number, since it is smaller than the sum of its proper divisors (28343760685040).

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

20002400141200 is a wasteful number, since it uses less digits than its factorization.

20002400141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387545 (or 387534 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20002400141200 its reverse (214100420002), we get a palindrome (20216500561202).

The spelling of 20002400141200 in words is "twenty trillion, two billion, four hundred million, one hundred forty-one thousand, two hundred".