202120400000 has 96 divisors (see below), whose sum is σ = 503295951060. Its totient is φ = 80848000000.

The previous prime is 202120399997. The next prime is 202120400023. The reversal of 202120400000 is 4021202.

It can be written as a sum of positive squares in 6 ways, for example, as 28124631616 + 173995768384 = 167704^2 + 417128^2 .

It is a super-4 number, since 4×202120400000⁴ (a number of 46 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147350 + ... + 652650.

Almost surely, 2^202120400000 is an apocalyptic number.

202120400000 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 202120400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251647975530).

202120400000 is an abundant number, since it is smaller than the sum of its proper divisors (301175551060).

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

202120400000 is an frugal number, since it uses more digits than its factorization.

202120400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505340 (or 505308 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 202120400000 its reverse (4021202), we get a palindrome (202124421202).

The spelling of 202120400000 in words is "two hundred two billion, one hundred twenty million, four hundred thousand".