122212020001200 has 240 divisors, whose sum is σ = 402082433458176. Its totient is φ = 31707810892800.

The previous prime is 122212020001177. The next prime is 122212020001231. The reversal of 122212020001200 is 2100020212221.

It is a tau number, because it is divible by the number of its divisors (240).

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 122212020001200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1774677969 + ... + 1774746831.

Almost surely, 2^{122212020001200} is an apocalyptic number.

122212020001200 is a gapful number since it is divisible by the number (10) 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 122212020001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201041216729088).

122212020001200 is an abundant number, since it is smaller than the sum of its proper divisors (279870413456976).

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

122212020001200 is a wasteful number, since it uses less digits than its factorization.

122212020001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108892 (or 108881 counting only the distinct ones).

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

Adding to 122212020001200 its reverse (2100020212221), we get a palindrome (124312040213421).

The spelling of 122212020001200 in words is "one hundred twenty-two trillion, two hundred twelve billion, twenty million, one thousand, two hundred".