122000211231200 has 144 divisors (see below), whose sum is σ = 315802490565744. Its totient is φ = 45863967744000.

The previous prime is 122000211231103. The next prime is 122000211231263. The reversal of 122000211231200 is 2132112000221.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 3135167 + ... + 15932033.

It is an arithmetic number, because the mean of its divisors is an integer number (2193072851151).

Almost surely, 2^{122000211231200} is an apocalyptic number.

122000211231200 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 122000211231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157901245282872).

122000211231200 is an abundant number, since it is smaller than the sum of its proper divisors (193802279334544).

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

122000211231200 is a wasteful number, since it uses less digits than its factorization.

122000211231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12797605 (or 12797592 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 122000211231200 its reverse (2132112000221), we get a palindrome (124132323231421).

The spelling of 122000211231200 in words is "one hundred twenty-two trillion, two hundred eleven million, two hundred thirty-one thousand, two hundred".