122102211121200 has 600 divisors, whose sum is σ = 444036483441408. Its totient is φ = 32130280834560.

The previous prime is 122102211121157. The next prime is 122102211121271. The reversal of 122102211121200 is 2121112201221.

122102211121200 is a `hidden beast` number, since 1 + 2 + 210 + 221 + 11 + 21 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-3 number, since 3×122102211121200³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 944362957 + ... + 944492243.

Almost surely, 2^{122102211121200} is an apocalyptic number.

122102211121200 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 122102211121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222018241720704).

122102211121200 is an abundant number, since it is smaller than the sum of its proper divisors (321934272320208).

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

122102211121200 is a wasteful number, since it uses less digits than its factorization.

122102211121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129703 (or 129683 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122102211121200 its reverse (2121112201221), we get a palindrome (124223323322421).

The spelling of 122102211121200 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred eleven million, one hundred twenty-one thousand, two hundred".