10122222121200 has 1200 divisors, whose sum is σ = 42342954044160. Its totient is φ = 2267884707840.

The previous prime is 10122222121157. The next prime is 10122222121213. The reversal of 10122222121200 is 212122222101.

It is a happy number.

10122222121200 is a `hidden beast` number, since 1 + 0 + 1 + 222 + 221 + 21 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5794058727 + ... + 5794060473.

Almost surely, 2^{10122222121200} is an apocalyptic number.

10122222121200 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 10122222121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21171477022080).

10122222121200 is an abundant number, since it is smaller than the sum of its proper divisors (32220731922960).

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

10122222121200 is a wasteful number, since it uses less digits than its factorization.

10122222121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2256 counting only the distinct ones).

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

Adding to 10122222121200 its reverse (212122222101), we get a palindrome (10334344343301).

The spelling of 10122222121200 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred".