20221200121200 has 360 divisors, whose sum is σ = 72246395549328. Its totient is φ = 4805884231680.

The previous prime is 20221200121169. The next prime is 20221200121223. The reversal of 20221200121200 is 212100212202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20221200121200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12348952 + ... + 13890248.

Almost surely, 2^{20221200121200} is an apocalyptic number.

20221200121200 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 20221200121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36123197774664).

20221200121200 is an abundant number, since it is smaller than the sum of its proper divisors (52025195428128).

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

20221200121200 is a wasteful number, since it uses less digits than its factorization.

20221200121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541389 (or 1541349 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20221200121200 its reverse (212100212202), we get a palindrome (20433300333402).

The spelling of 20221200121200 in words is "twenty trillion, two hundred twenty-one billion, two hundred million, one hundred twenty-one thousand, two hundred".