202120323140000 has 240 divisors, whose sum is σ = 499518176622696. Its totient is φ = 80479027200000.

The previous prime is 202120323139919. The next prime is 202120323140041. The reversal of 202120323140000 is 41323021202.

It can be written as a sum of positive squares in 20 ways, for example, as 4828971090064 + 197291352049936 = 2197492^2 + 14046044^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13790012672 + ... + 13790027328.

Almost surely, 2^{202120323140000} is an apocalyptic number.

202120323140000 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 202120323140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249759088311348).

202120323140000 is an abundant number, since it is smaller than the sum of its proper divisors (297397853482696).

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

202120323140000 is a wasteful number, since it uses less digits than its factorization.

202120323140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17789 (or 17766 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 202120323140000 its reverse (41323021202), we get a palindrome (202161646161202).

The spelling of 202120323140000 in words is "two hundred two trillion, one hundred twenty billion, three hundred twenty-three million, one hundred forty thousand".