20212110021200 has 240 divisors, whose sum is σ = 50386950497520. Its totient is φ = 7786168320000.

The previous prime is 20212110021199. The next prime is 20212110021209. The reversal of 20212110021200 is 212001121202.

It can be written as a sum of positive squares in 24 ways, for example, as 17763122895424 + 2448987125776 = 4214632^2 + 1564924^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212110021209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 558188696 + ... + 558224904.

It is an arithmetic number, because the mean of its divisors is an integer number (209945627073).

Almost surely, 2^{20212110021200} is an apocalyptic number.

20212110021200 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 20212110021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25193475248760).

20212110021200 is an abundant number, since it is smaller than the sum of its proper divisors (30174840476320).

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

20212110021200 is a wasteful number, since it uses less digits than its factorization.

20212110021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36706 (or 36695 counting only the distinct ones).

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

Adding to 20212110021200 its reverse (212001121202), we get a palindrome (20424111142402).

The spelling of 20212110021200 in words is "twenty trillion, two hundred twelve billion, one hundred ten million, twenty-one thousand, two hundred".