122121212011200 has 252 divisors, whose sum is σ = 445778640409440. Its totient is φ = 31685503518720.

The previous prime is 122121212011199. The next prime is 122121212011241. The reversal of 122121212011200 is 2110212121221.

122121212011200 is a `hidden beast` number, since 1 + 221 + 2 + 121 + 201 + 120 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 114070440 + ... + 115136039.

Almost surely, 2^{122121212011200} is an apocalyptic number.

122121212011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121212011200 is an abundant number, since it is smaller than the sum of its proper divisors (323657428398240).

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

122121212011200 is a wasteful number, since it uses less digits than its factorization.

122121212011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229206544 (or 229206526 counting only the distinct ones).

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

Adding to 122121212011200 its reverse (2110212121221), we get a palindrome (124231424132421).

The spelling of 122121212011200 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred twelve million, eleven thousand, two hundred".