20010120211200 has 864 divisors, whose sum is σ = 76159675468800. Its totient is φ = 4532192870400.

The previous prime is 20010120211189. The next prime is 20010120211223. The reversal of 20010120211200 is 211202101002.

It is a super-3 number, since 3×20010120211200³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10833848677 + ... + 10833850523.

Almost surely, 2^{20010120211200} is an apocalyptic number.

20010120211200 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 20010120211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38079837734400).

20010120211200 is an abundant number, since it is smaller than the sum of its proper divisors (56149555257600).

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

20010120211200 is a wasteful number, since it uses less digits than its factorization.

20010120211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20010120211200 its reverse (211202101002), we get a palindrome (20221322312202).

The spelling of 20010120211200 in words is "twenty trillion, ten billion, one hundred twenty million, two hundred eleven thousand, two hundred".