202120320400000 has 384 divisors, whose sum is σ = 537692532350400. Its totient is φ = 75449594880000.

The previous prime is 202120320399967. The next prime is 202120320400127. The reversal of 202120320400000 is 4023021202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509001532 + ... + 509398468.

Almost surely, 2^{202120320400000} is an apocalyptic number.

202120320400000 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 202120320400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268846266175200).

202120320400000 is an abundant number, since it is smaller than the sum of its proper divisors (335572211950400).

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

202120320400000 is an frugal number, since it uses more digits than its factorization.

202120320400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397062 (or 397030 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 202120320400000 its reverse (4023021202), we get a palindrome (202124343421202).

The spelling of 202120320400000 in words is "two hundred two trillion, one hundred twenty billion, three hundred twenty million, four hundred thousand".