2122121014200 has 288 divisors, whose sum is σ = 8034442273200. Its totient is φ = 514453420800.

The previous prime is 2122121014187. The next prime is 2122121014217. The reversal of 2122121014200 is 24101212212.

2122121014200 is a `hidden beast` number, since 2 + 1 + 221 + 21 + 0 + 1 + 420 + 0 = 666.

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

It is a congruent number.

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, 970507 + ... + 2277306.

Almost surely, 2^{2122121014200} is an apocalyptic number.

2122121014200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122121014200 is an abundant number, since it is smaller than the sum of its proper divisors (5912321259000).

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

2122121014200 is a wasteful number, since it uses less digits than its factorization.

2122121014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247860 (or 3247834 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2122121014200 its reverse (24101212212), we get a palindrome (2146222226412).

The spelling of 2122121014200 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-one million, fourteen thousand, two hundred".