202120001200 has 180 divisors, whose sum is σ = 551923872528. Its totient is φ = 70700428800.

The previous prime is 202120001191. The next prime is 202120001287. The reversal of 202120001200 is 2100021202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1823365 + ... + 1931035.

Almost surely, 2^202120001200 is an apocalyptic number.

202120001200 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 202120001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275961936264).

202120001200 is an abundant number, since it is smaller than the sum of its proper divisors (349803871328).

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

202120001200 is a wasteful number, since it uses less digits than its factorization.

202120001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107740 (or 107710 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 202120001200 its reverse (2100021202), we get a palindrome (204220022402).

The spelling of 202120001200 in words is "two hundred two billion, one hundred twenty million, one thousand, two hundred".