20120220211200 has 288 divisors, whose sum is σ = 66544244020800. Its totient is φ = 5363002408960.

The previous prime is 20120220211159. The next prime is 20120220211213. The reversal of 20120220211200 is 211202202102.

It is a super-2 number, since 2×20120220211200² (a number of 27 digits) contains 22 as substring.

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 20120220211200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359242399 + ... + 359298401.

It is an arithmetic number, because the mean of its divisors is an integer number (231056402850).

Almost surely, 2^{20120220211200} is an apocalyptic number.

20120220211200 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 20120220211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33272122010400).

20120220211200 is an abundant number, since it is smaller than the sum of its proper divisors (46424023809600).

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

20120220211200 is a wasteful number, since it uses less digits than its factorization.

20120220211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58377 (or 58352 counting only the distinct ones).

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

Adding to 20120220211200 its reverse (211202202102), we get a palindrome (20331422413302).

The spelling of 20120220211200 in words is "twenty trillion, one hundred twenty billion, two hundred twenty million, two hundred eleven thousand, two hundred".