202012110201200 has 240 divisors, whose sum is σ = 523627758553536. Its totient is φ = 74452170547200.

The previous prime is 202012110201199. The next prime is 202012110201211. The reversal of 202012110201200 is 2102011210202.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6830949614 + ... + 6830979186.

Almost surely, 2^{202012110201200} is an apocalyptic number.

202012110201200 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 202012110201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261813879276768).

202012110201200 is an abundant number, since it is smaller than the sum of its proper divisors (321615648352336).

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

202012110201200 is a wasteful number, since it uses less digits than its factorization.

202012110201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31972 (or 31961 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202012110201200 its reverse (2102011210202), we get a palindrome (204114121411402).

The spelling of 202012110201200 in words is "two hundred two trillion, twelve billion, one hundred ten million, two hundred one thousand, two hundred".