122011200000 has 720 divisors, whose sum is σ = 454007113560. Its totient is φ = 31518720000.

The previous prime is 122011199993. The next prime is 122011200041. The reversal of 122011200000 is 2110221.

It can be written as a sum of positive squares in 12 ways, for example, as 8048242944 + 113962957056 = 89712^2 + 337584^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 532799886 + ... + 532800114.

Almost surely, 2^122011200000 is an apocalyptic number.

122011200000 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 122011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227003556780).

122011200000 is an abundant number, since it is smaller than the sum of its proper divisors (331995913560).

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

122011200000 is an frugal number, since it uses more digits than its factorization.

122011200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122011200000 its reverse (2110221), we get a palindrome (122013310221).

It can be divided in two parts, 12201 and 1200000, that added together give a square (1212201 = 1101²).

The spelling of 122011200000 in words is "one hundred twenty-two billion, eleven million, two hundred thousand".